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 :

Answer:

Yes. The graph of the parent function has been dilated by a scale factor other than 1.

Step-by-step explanation:

Let the parent function of the absolute value function is,

f(x) = |x|

This function passes through (0, 0) and slope = 1 or -1.

After transformation vertex (0, 0) becomes (-2, 3) and a point through which this function passes through is (-1, 0)

Slope of the function = [tex]\frac{3-0}{-2+1}[/tex]

                                   = -3

Since slope of the transformed function is less than the parent function. (-3 < -1)

Therefore, parent function will be dilated by a scale factor other than 1.