Question

The graph of an absolute value function has a vertex at (–2, 3) and passes through the point (–1, 0). Using transformations of the parent function, has the graph been dilated by a scale factor other than 1? Explain.

Answer 1

The parent function has a slope of 1 or -1 from any point to the vertex. In the problem, we are given the points
(–2, 3) and (–1, 0)
The slope between the two points is
m = 0 - 3 / (-1 - (-2))
m = 3
The slope is greater than 1. Therefore, the graph has been dilated by a scale factor other than 1.

Answer 2

Answer:

Yes, the graph has been dilated.

Using the standard form of the equation, substitute in the values: h = –2, k = 3, x = –1, and y = 0.

Solve the equation to get a = –3.

Graphically, the parent function follows the pattern of right 1, up 1. Moving 1 unit to the right from the vertex, you can move down 3 units to get to the point (–1, 0), so it has been horizontally compressed.

Step-by-step explanation: