Problem

What is the image of $(-12,8)$ after a dilation by a scale factor of $\frac{1}{4}$ centered at the origin?
Answer
Submit Answer

Answer

Expert–verified
Hide Steps
Answer

So, the image of (-12,8) after a dilation by a scale factor of 0.25 centered at the origin is \(\boxed{(-3,2)}\).

Steps

Step 1 :Given the point (-12, 8) and a scale factor of 0.25, we can find the image of the point after a dilation by multiplying the coordinates of the point by the scale factor.

Step 2 :The new coordinates are (-12*0.25, 8*0.25) = (-3.0, 2.0).

Step 3 :So, the image of (-12,8) after a dilation by a scale factor of 0.25 centered at the origin is \(\boxed{(-3,2)}\).

link_gpt