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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.

Respuesta :

Hagrid
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.
aksnkj

The graph has been dilated by a scale factor other than 1 which is a scale factor of 3.

Given information:

The given function is an absolute value function.

Now, the function has vertex (-2,3) and it passes through the point (-1,0).

So, the slope of the function will be calculated as,

[tex]m=\dfrac{3-0}{-2-(-1)}\\m=\dfrac{3}{-1}\\m=-3[/tex]

Now, the slope of 3 times -1. So, the scale factor for dilation is 3 times.

Therefore, the graph has been dilated by a scale factor other than 1 which is a scale factor of 3.

For more details, refer to the link:

https://brainly.com/question/20313163

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