Question

what is the image of (6, -4) after a dilation by a scale factor of 3 centered at the origin? answer attempt 2 out of 2

Explanation:

Step1: Recall dilation formula

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

Step2: Apply the formula

Given the point \( (6, -4) \) and scale factor \( k = 3 \), we calculate the new coordinates:
\( x' = 3\times6 = 18 \)
\( y' = 3\times(-4) = -12 \)

Answer:

\((18, -12)\)