Question

question
what is the image of (5, -4) after a dilation by a scale factor of 4 centered at the origin?
answer attempt 1 out of 2
(\boxed{ }, \boxed{ })
submit answer

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 \( (5, -4) \) and scale factor \( 4 \), we calculate the new \( x \)-coordinate: \( 5\times4 = 20 \), and the new \( y \)-coordinate: \( -4\times4 = -16 \).

Answer:

\( (20, -16) \)