Question

question
what is the image of (0, 4) after a dilation by a scale factor of 3 centered at the origin?
answer attempt 1 out of 2

Explanation:

Step1: Recall dilation formula

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

Step2: Apply the formula

Given the point \( (0, 4) \) and scale factor \( k = 3 \), we substitute \( x = 0 \), \( y = 4 \), and \( k = 3 \) into the formula. So the new \( x \)-coordinate is \( 3\times0 = 0 \), and the new \( y \)-coordinate is \( 3\times4 = 12 \).

Answer:

\((0, 12)\)