Question

The graph of an absolute value function has a vertexat(-2.3) and passes through the point (-1,0).Using transformations of the parent function, has thegraph been dilated by a scale factor other than 1?Explain.

Answer 1

Step 1 of the solution:

Let the parent function of the absolute value function is f(x) = |x|

Step 2 of the solution:

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

Step 3 of the solution:

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

Step 4, let's find the slope of the absolute value funtion, this way:

`S\text{lope = (3 - 0)/(-2 + 1) = 3/}-1\text{ = -3}`

Step 5: Interpretation

Since slope of the absolute value function is less than the parent function: -3 < -1

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