Question

ab is graphed below. ab is the image of ab after a dilation by a scale factor of 2 centered at the origin. what is the length of ab? units

Explanation:

Step1: Find coordinates of A and B

From the graph, \( A(-3, 3) \), \( B(3, 3) \).

Step2: Calculate length of AB

Since AB is horizontal, length \( AB = |3 - (-3)| = 6 \) units.

Step3: Apply dilation scale factor

Dilation with scale factor 2: length of \( A'B' = 2 \times AB \).
\( A'B' = 2 \times 6 = 12 \) units.

Answer:

12