Question

What is the image of (4,−8) after a dilation by a scale factor of 1/4 centered at the origin?

Answer 1

Answer:

(1,-2)

Step-by-step explanation:

you just have to multiply the coordinates by 1/4

4x1/4=1

-8x1/4=-2

so the new coordinates are (1,-2)

Answer 2

The image of the given point is (1,-2).

Important information:

• The coordinates of the point are (4,-8).
• Point is dilated by a scale factor of $\dfrac{1}{4}$ centered at the origin.

Dilation:

If a point is dilated by a scale factor of $k$ centered at the origin, then the rule of dilation is defined as:

$(x,y)\to (kx,ky)$

Using the above rule, we get

$(4,-8)\to \left(\dfrac{1}{4}(4),\dfrac{1}{4}(-8)\right)$

$(4,-8)\to \left(1,-2\right)$

Therefore, the image of the given point is (1,-2).

Find out more about 'Dilation' here:

https://brainly.com/question/1002743