which equation will produce a translation of 1 unit down on the graph of y=x2

Answers

Answer 1

y = (x^2) - 1

Step-by-step explanation:

To produce a translation of 1 unit down on the graph of y=x^2, we need to subtract 1 from the function. This can be expressed as:

This equation shifts the entire parabola downward by one unit. Every point on the original graph (y=x^2) has been shifted down by one unit, so the new graph (y=(x^2)-1) will appear lower.


Related Questions

Please help!! Find the solution(s) to the system of equations represented in the graph.

Please help!! Find the solution(s) to the system of equations represented in the graph.

Answers

Answer:

(4,0) and ( 0,-4)

Step-by-step explanation:

The solutions are the the graphs intersect

There are two points

(4,0) and ( 0,-4)

please help me this is due midnight ​

please help me this is due midnight

Answers

Answer:

Wait does it mean the actual real life distance or the distance on paper?

Step-by-step explanation:

If its real like just google it lol.

this is an OER i dont know if u know what this is but I have explain the answer and how I got it :))​

this is an OER i dont know if u know what this is but I have explain the answer and how I got it :))

Answers

10 pencils will be defective
4/1,000 = 10/2,500 1,000 x 2.5 = 2,500
4 x 2.5 = 10
Hope it helps!!!!!!

a triangle has a 40° angle, a 120° angle and a side 2.5 centimeters in length. which of the following statements are true about the triangle?

Answers

Answer:

C

Step-by-step explanation:

A triangle is 180 degrees so 120+40 is 160

180-160=20

if 6m + 4 = 8m, then 4m =
a. 6
b. 2
c. 4
d. 8

Answers

Answer:

here is your correct answer dude

if 6m + 4 = 8m, then 4m =a. 6b. 2c. 4d. 8

Answer:

I Think B.

Step-by-step explanation:

Im Not But CARRY ON LEARNING

An item sells for 4.39 including value-added tax at 17.5%.
If the tax were reduced to 16%, the new selling price
to the nearest penny will be

Answers

The new selling price to the nearest penny will be;

⇒ 4.42

What is mean by Percentage?

A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.

Given that;

An item sells for 4.39 including value-added tax at 17.5%.

Now, The amount of tax is,

⇒ 17.5% of 4.39

⇒ 17.5 / 100 × 4.39

⇒ 0.77

When the tax were reduced to 16%,

The amount of tax is,

⇒ 16% of 4.39

⇒ 16/100 × 4.39

⇒ 0.70

Hence, The new selling price to the nearest penny will be;

⇒ 4.49 - (0.77 - 0.70)

⇒ 4.49 - 0.07

⇒ 4.42

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what is the area, in square centimeters, of the shape below? 9.4 and 3.1

Answers

Answer:

29.14 sq cm

Step-by-step explanation:

Give brainliest if it works!

What is the relationship between interior and exterior angles of polygons?.

Answers

Answer:Each interior angle of a regular polygon with n sides is given by the formula:

Interior angle = (n - 2) x 180 degrees / n

Exterior angle = 180 degrees - Interior angle

Step-by-step explanation: The angle that is formed between one of the polygon's sides and a line that is drawn from the side next to it is called the polygon's exterior angle. The outside point and the inside point at every vertex of a polygon are beneficial, meaning they amount to 180 degrees.

what slope of this line
x 9 13 17 21
y -24 -21 -18 -15

Answers

Answer:

The slope is 0.75

Step-by-step explanation:

Because I just solve it

. If m angle TUV = (9x + 1)° , m angle TUW = (7x – 9)°, and m angle WUV = (5x - 11)°, find the value of x.​

. If m angle TUV = (9x + 1) , m angle TUW = (7x 9), and m angle WUV = (5x - 11), find the value of x.

Answers

Answer:

x = 7

Step-by-step explanation:

Suppose ray UW divides ∠TUV into two angles ∠ TUW and ∠ WUV.

Then, m∠TUV = m∠ TUW + m ∠ WUV

Given m∠TUV = (9x + 1), m∠ TUW = (7x - 9) and m ∠ WUV = (5x - 11)

Substitute these values in (i) we get

9x + 1 = 7x - 9 + 5x - 11
9x + 1 = 7x + 5x - 9 - 11
9x + 1 = 12x - 20
12x - 9x = 1 + 20
3x = 21
x = 21/3
x = 7

Please help I don't want just the answer I want to know how to solve it.

Please help I don't want just the answer I want to know how to solve it.

Answers

Answer:

149 degrees

Step-by-step explanation:

Since m and n are parallel you need to remember the rules of transversals, this means that <1 and <2 are corresponding. Corresponding angles are always congruent, so we can solve for x by setting them equal to each other.

\(8x-1=7x+3\)

First, move the variables to one side, I will move them both to the right, but remember you can do it on either side. To do this subtract 7x from both sides

\(8x-1-7x=7x+3-7x\), then simplify

\(x-1=3\)

Next, add 1 to both sides to isolate the variable

\(x-1+1=3+1\), then simplify

\(x=4\)

Now that you know what x equals solve for angle 1, to do this plug 4 in for x in the original equation

\(8(4)-1=31\)

Finally, you can solve for <3 because <1 and <3 are supplementary. So to solve add both and set them equal to 180, in this equation let x stand for <3. \(180=31+x\), then subtract 31 from both sides \(180-31=31+x-31\) and simplify, \(149=x\). So angle 3 is equal to 149.


i’m so confused, can someone help me out?

im so confused, can someone help me out?

Answers

Answer:

3.7001 × 10 to the power of 4 is the answer for #1

Step-by-step explanation:

Scientific notation is a way of writing very large or very small numbers. A number is written in scientific notation when a number between 1 and 10 is multiplied by a power of 10. For example, 650,000,000 can be written in scientific notation as 6.5 ✕ 10^8.

A car travels a distance of 300 miles along a straight road from point A to point B. The car maintains a speed of 30 miles pr
hour (mph) during the first 150 miles and a speed of 50 mph during the remaining 150 miles. What is the average speed of
car for the whole trip?
O20.0 mph
37.5 mph
40.0 mph
O45.0 mph
O80.0 mph
Click Save and Submit to save and submit. Click Save All Answers to save all answers.

Answers

Answer:

Definition: The average speed over the course of mobion can be calculated using the formula Total Distance Traveled Average Speed = Time of Travel A car fravels a distance of 300 miles along a straight road from point A to point B. The car maintains a speed of 30 miles per hour (mph) during the first 150 miles and a speed of 50 mph during the remaining 150 miles. What is the average speed of the car for the whole trip? 20.0 mph 37.5 mph 40.0 mph 45.0 mph 80.0 mph QUESTION 13 Wriat is the height h, of the equilateral triangle shown below? Aak Sareend Sabmit ro save and submit. Click Save AlAnseers to save all ansuers Save

Average speed of the whole trip is equals to 37.5 mph.

What is average speed?

" Average speed is defined as the ratio of the total distance travelled to the total time taken."

Formula used

Average speed = \(\frac{Total distance travelled }{Total time taken}\)

According to the question,

Total distance travelled = 300miles

Speed for first 150 miles = 30 miles per hour

For,  30  miles = 1hour

    ⇒150 miles = 5 hours

Speed for remaining 150 miles = 50 miles per hour

For,  50  miles = 1hour

    ⇒150 miles = 3 hours

Substitute the value in the formula to get average speed,

Average speed = \(\frac{300miles}{(5 + 3)hours}\)

                          \(=\frac{300}{8}\\ \\= 37.5 miles per hour\)

Hence, average speed of the whole trip is equals to 37.5 mph.

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the thickness of a surfboard relates to the weight of the surfer.a surfboard is 21 3/16 inch thick.write each dimension as a decimal.

Answers

Answer:

https://tex.z-dn.net/?f=%5Cunderline%7B0.1875%7D%5C%5C3%3A16%5C%5C%5Cunderline%7B0%7D%5C%5C30%5C%5C%5Cunderline%7B16%7D%5C%5C140%5C%5C%5Cunderline%7B128%7D%5C%5C.%5C%20120%5C%5C%5Cunderline%7B.%5C%20112%7D%5C%5C.%5C%20%5C%2080%5C%5C%5Cunderline%7B.%5C%20%5C%2080%7D%5C%5CR%3D0Step-by-step explanation:

which number is the next logical number in the following sequence of numbers: 2, 6, 14, 30,

Answers

The next logical number in the sequence is 50

How to find the next logical number in the given sequence (2, 6, 14, 30)?

To find the next logical number in the given sequence (2, 6, 14, 30), we need to observe the pattern or rule governing the sequence. Let's analyze the differences between consecutive terms:

6 - 2 = 4

14 - 6 = 8

30 - 14 = 16

By looking at the differences, we can see that they are increasing by 4 each time. Therefore, it appears that the sequence is based on adding the successive odd numbers: 1, 3, 5, 7, and so on.

Now, let's calculate the next difference:

16 + 4 = 20

To find the next number in the sequence, we add this difference to the last term:

30 + 20 = 50

Hence, the next logical number in the sequence is 50.

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Remember the Great Toilet Paper Shortage of 2020? Most stores have
finally restocked. Charmin makes a pack of TP with 2^4 rolls in it. Each roll
has 2^10 individual sheets. Wegman's has a shelf with 2^6 packages on it.
How many sheets are there on that shelf? Final answer must be left in
exponential form. Show the process but not the calculations - unless you
want to but sometimes less is more

Answers

Answer:

2^16 or 65,536

Step-by-step explanation:

First, you'll find the answers to 2^6 and 2^10

2^6=64 while 2^10=1024, then you multiply 1024 by 64 which gives you 65,536.

**or, the easier way is to just add the two exponents together since you see that the bases are the same.

Which is equivalent to the expression 8 - 2

Answers

6+2=8 is another one equivalent to 8-2=6

? < x < ?
I am very lost/confused.

? &lt; x &lt; ?I am very lost/confused.

Answers

Answer:

9 <x < 37

Step-by-step explanation:

See attached image for steps.

? &lt; x &lt; ?I am very lost/confused.

What is the shortest time it takes it to collect a container of water?

What is the shortest time it takes it to collect a container of water?

Answers

Answer:

45 minutes

Step-by-step explanation:

The minimum of a box-and-whisker plot is the leftmost endpoint, called the "whisker". This minimum is the smallest value collected in the data.

A rectangular rug is 12.5 feet long and 10 feet wide. The rug needs to be reduced by a factor of One-fifth to be placed near a door. What is the area of the reduced rug, in square feet? 5 25 50 100

Answers

Answer:

5 Feet-

Step-by-step explanation:

I did the test-

The floor of a storage unit is 6.4 feet long and 6.2 feet wide. What is the distance between two opposite corners of the floor? If necessary, round to the nearest tenth.

Answers

Answer: 8.9

Step-by-step explanation:

This is pythagoras.

\(a^{2} + b^{2} = c^{2}\\6.4^{2} + 6.2^{2} = c^{2}\\40.96 + 38.44 = 79.4\\\sqrt{79.4} = 8.91066776398\)

8.91066776398 = 8.9 (nearest tenth)

Can someone help me with this math homework please!

Can someone help me with this math homework please!

Answers

Step-by-step explanation:

these are almost the simplest possible problems to get you a little bit familiar with the use of this line of thinking and to use these methods.

come on ! are you really not understanding this ?

I think you are not trying to learn and get better, you try to get others doing your work for you.

these problems are so simple that stating them here costs you more time than just solving them.

remember fractions ?

remember the problems to find the smallest common denominator for a list of fractions ?

the first question is exactly that.

what is the smallest common denominator of 3/4, 1/3 and 1/2 ?

because that is the number you need to multiply both sides to eliminate all fractions.

so, what is the smallest number that can be split by 4, 3 and 2 ?

is it 2 ? no, 4 and 3 can't do that.

is it 3 ? no, 2 and 4 can't do that.

...

is it 6 ? no, 4 can't do that.

...

is it 8 ? no, 3 can't do that.

...

is it 12 ? yeah ! all 3 can do that.

here a little tip : you start by multiplying all involved numbers, and then work your way back by eliminating some factors shared by some of the numbers.

here it would be

2×3×4 = 24

but 12 is sufficient, because 2 and 4 share another common factor of 2. so, we can divide 24 by 2 and get 12.

"isolate the variable" means having it only on one side of the equation.

so, what do you think ?

subtracting any constants does not change anything for "j".

from all the offered options only the subtraction of 1.1j eliminates j from one side.

the runners save.

you only need to translate the words into the corresponding mathematical symbols.

runner 1 has $112 already saved.

that is our starting value for this runner.

so, 112 + ...

received a $45 gift card. so, $45 are added.

so, 112 + 45 + ...

saves $25 each month (m). so, whatever the number of m is, there will be $25×m added to the account.

so, 112 + 45 + 25m

we know already, it is the second option.

but for training purposes let's look at runner 2 too :

he starts with $50 already saved.

so, 50 + ...

saves $60 each month (m). same principle as above.

so, 50 + 60m

if we want to know, when (after how many months) both runners will have the same amount of money, we simply need to say both equations are equal and solve for m.

-3x + 1 + 10x = x + 4

how do we solve this ?

by bringing all x to one side and contract them into one expression. and try to bring all constants to the other side and contact them too. and then do the reverse operation of the x expression (like a division for a multiplication).

1 + 7x = x + 4

1 + 6x = 4

6x = 3

x = 3/6 = 1/2

hurray, it is the first option !

Using the completing-the-square method, find the vertex of the function f(x)=-2x^2+12x+5 and indicate whether it is a minimum or a maximum and at what point.

Answers

Using the completing-the-square method, find the vertex of the function f(x)=-2x^2+12x+5 and indicate whether it is a minimum or a maximum and at what point.

Given function is: \(f(x) = -2x^{2}+12x+5\)

\(f(x) = a(x-h)^{2} +k\) , where (h,k) is the vertex

Apply completing the square method to find vertex

\(f(x) = -2x^{2}+12x+5\\\\f(x) = -2(x^{2}-6x)+5\)

Lets take half of coefficient of x is -6

divide by 2 that is -3

square it \((-3)^{2}\) that is 9

Add and subtract 9

\(f(x) = -2(x^{2}-6x+9-9)+5\)

Take out -9 and multiply by -2

\(f(x) = -2(x^{2}-6x+9)+18+5\\\\f(x) = -2(x^{2}-6x+9)+23\)

Now factor the parenthesis part

\(f(x) = -2(x-3)^{2} +23\)

The value of h=3  and k=23

So vertex is (3,23)

The value of 'a' is -2, it means the parabola is upside down. so vertex is maximum

Hence the answer is the vertex is maximum at (3,23)

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need help finding answer

need help finding answer

Answers

Step-by-step explanation:

Triangle XYZ is isosceles.

Since Angle Y = 90°, Angle Z = (180° - 90°)/2 = 45°.

Generate two equivalent fractions for each fraction. Use fraction tiles or number lines.
1
-
3

Answers

Remember that finding common denominators is only one of the strategies for comparing fractions

Question 3 [27 Marks] A cantilever beam with a length of 15 meters and a circular cross section with a diameter (d) of 250 mm, respectively, carries a transverse end point load (PP1 = 25 ) and a compressive load (PP2 = 1500 MN) on its free end that is applied through its centroid. (i) Starting from the general equation for bending, derive the equation for the maximum longitudinal direct stresses due to transverse concentrated load and calculate its maximum tensile and compressive values. [12] (ii) Develop an equation for the direct longitudinal stress due to the compressive end-load acting on the beam and calculate its numerical value. [2] (iii) By plotting these stresses on a diagram for the distribution of stress through the depth of the beam, determine the maximum direct stresses induced in the beam. [6] (iv) Use the plotted diagram to determine the location of the neutral axis with reference to the lower and upper surfaces of the beam cross-section. [7

Answers

the distance of the neutral axis from the upper and lower surfaces of the beam cross-section is d/2 = 125 mm.

A cantilever beam carries a transverse end point load and a compressive load on its free end through its centroid. The length of the cantilever beam is 15 meters, and its circular cross-section has a diameter (d) of 250 mm.

The value of PP1 is 25, and the value of PP2 is 1500 MN.i) Derive the equation for the maximum longitudinal direct stresses due to transverse concentrated load, starting from the general equation for bending. Calculate its maximum tensile and compressive values.

The general equation for bending can be given as:σ = -My / I

where,σ = longitudinal stress in the beam due to bending

M = bending moment at a pointy = distance from the neutral axis to a pointI = moment of inertia of the cross-section of the beam

For a cantilever beam, the bending moment can be given as:M = PL

where, P = point load, L = length of the beam

The maximum longitudinal stress can be calculated as:σmax = Mc / Iwhere, c = distance of the extreme fiber from the neutral axis

The moment of inertia of a circular cross-section is given as:I = πd4 / 64σ

max can be calculated as:σmax = (PLc) / (πd4 / 64)

Maximum tensile stress occurs at the bottom fiber of the beam where y = c = d / 2σmax,tensile = (25 × 15 × (250 / 2)) / (π × (250)4 / 64)σmax,tensile = 26.08 MPa

The maximum direct stresses induced in the beam are ± 30.57 MPa.iv) Use the plotted diagram to determine the location of the neutral axis with reference to the lower and upper surfaces of the beam cross-section.The neutral axis of the beam is located at the center of gravity of the cross-section of the beam. From the stress distribution diagram, it can be seen that the neutral axis is located at the center of the circle which is the cross-section of the beam.

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Jaxon rode his bike 5 3/4 miles in 1/2 hour. What was his average rate of speed in miles per hour? 2/23 hours per mile 11 1/2 hours per mile 2/23 miles per hour​

Answers

Answer:

11.5 mph

Step-by-step explanation:

5 3/4 / 1/2 = m/1

See attached for explanation

 Jaxon rode his bike 5 3/4 miles in 1/2 hour. What was his average rate of speed in miles per hour? 2/23

can anyone help me please

can anyone help me please

Answers

Answer:

1) multiply or divide them all then U get the answer

Answer:

a

Step-by-step explanation:

If a line is parallel to a side of a triangle and it intersects the other 2 sides then it divides those sides proportionally. that is

\(\frac{A'B'}{AB}\) = \(\frac{A'C}{AC}\) , substitute values

\(\frac{A'B'}{12}\) = \(\frac{4}{6}\) ( cross- multiply )

6 A'B' = 48 ( divide both sides by 6 )

A'B' = 8

An eastbound train and a westbound train meet each other on parallel tracks heading in opposite directions. The eastbound train travels 6 miles per hour faster than the westbound train. After 2 hours, they are 276 miles apart. At what speeds are the two trains traveling

Answers

Both? or just the westbound?

24=3/4R

What is the solution to R?

Answers

Answer:

x=32

Step-by-step explanation:

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