Question

What is the image of ( 3 , − 5 ) (3,−5) after a dilation by a scale factor of 5 5 centered at the origin?

Answer 1

The coordinates of the image will be: (15, -25)

Explanation:

Given the point

• (3,−5)

• The scale factor 5.

A scale factor of 5 means that the new shape is five times the size of the original.

The coordinates of the image of (3,−5) after dilation by a scale factor of 5 centered at the origin can be obtained by multiplying the original coordinates of the object point by 5.

i.e.

(x, y) → (5x, 5y)

(3, -5) → (5×3, 5×(-5)) = (15, -25)

Therefore, the coordinates of the image will be: (15, -25)