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

Answer:

The answer to this question can be defined as follows:

Step-by-step explanation:

Given vertex:

(-2,3) and (-1,0)

finding slope:

$\bold{Formula:}\\\\\bold{m=\frac{y_2-y_1}{x_2-x_1}}$

$y_2=0\\y_1=3\\x_2=-1\\x_1=-2$

$\ M= \frac{0-3}{-2-(-1)}\\\\\ M= \frac{0-3}{-2+1}\\\\\ M= \frac{-3}{-1}\\\\\ M= 3$

According to the slope value, its value is greater than 1 that's why the graph has been dilated.

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:

Step-by-step explanation:

Edg 2020