Question

what is the image of $(-4, 6)$ after a dilation by a scale factor of 4 centered at the origin? answer

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 \( (-4, 6) \) and scale factor \( 4 \), we calculate the new \( x \)-coordinate: \( 4\times(-4)= -16 \), and the new \( y \)-coordinate: \( 4\times6 = 24 \).

Answer:

\((-16, 24)\)