Question

question what is the image of (2, -7) after a dilation by a scale factor of 4 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 transformation of a point \( (x, y) \) is \( (kx, ky) \).

Step2: Apply scale factor

Given the point \( (2, -7) \) and scale factor \( 4 \), we calculate the new coordinates:
\( x' = 4\times2 = 8 \)
\( y' = 4\times(-7) = -28 \)

Answer:

\( (8, -28) \)