Question

1. identify the scale factor used to graph the image below.

Explanation:

Step1: Find coordinates of corresponding points

Let's assume a point \( S(1,0) \) in the original figure and \( S'(3,0) \) in the image.

Step2: Calculate the scale factor

The scale factor \( k=\frac{\text{coordinate of image}}{\text{coordinate of original}} \). For \( x - \)coordinates (since it's a dilation centered at the origin and the transformation is uniform), using \( S \) and \( S' \), \( k=\frac{3}{1}=3 \).

Answer:

The scale factor is \( 3 \)