Question

what is the image of (9, -4) after a dilation by a scale factor of 5 centered at the origin?

answer attempt 1 out of 2

Explanation:

Step1: Recall dilation rule

For a dilation centered at the origin with scale factor \( k \), the image of a point \( (x, y) \) is \( (kx, ky) \).

Step2: Apply the rule

Given the point \( (9, -4) \) and scale factor \( k = 5 \), we calculate the new coordinates:
\( x' = 5\times9 = 45 \)
\( y' = 5\times(-4) = -20 \)

Answer:

\( (45, -20) \)