Question

1. function: (x,y)→(1/2 x, 1/2 y)

verbal description: ________

Explanation:

Step1: Analyze the function

The function $(x,y)\to(\frac{1}{2}x,\frac{1}{2}y)$ multiplies the x - coordinate and y - coordinate of each point by $\frac{1}{2}$.
This is a dilation.

Step2: Determine the type of dilation

Since the scale factor for both x and y is $\frac{1}{2}< 1$, it is a reduction.

Answer:

The function represents a reduction with a scale factor of $\frac{1}{2}$.