Question

What kind of transformation converts the graph of f(x)=9|x|+8 into the graph of g(x)=|x|+8?​

Answer 1

Step-by-step explanation:

Vertical compression Step-by-step explanation: To find the transformation, compare the function to the parent function and check to see if there is a horizontal or vertical shift, reflection about the x-axis or y-axis, and if there is a vertical stretch.

Answer 2

The kind of transformation that converts the graph of f(x)=9|x|+8 into the graph of g(x)=|x|+8 is a vertical shift transformation with a shift of 9 units up.

Give: Transformation

To Find: The kind of transformation

Explanation :

1. The transformation will be a vertical shift as the graph of g(x) is just a shifted version of the graph of f(x).

2. Both the graphs have the same shape and the same origin but the graph of f(x) is shifted up by 9 units.

3. This is a vertical shift transformation with a shift of 9 units up.

The kind of transformation that converts the graph of f(x)=9|x|+8 into the graph of g(x)=|x|+8 is a vertical shift transformation with a shift of 9 units up.

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