Question

The graph of the parent function f(x) = |x| is dashed and the graph of the transformed function g(x) = |x – h| is solid.

Use the slider to change the value of h. How does changing the value of h affect the vertex?

Positive values of h shift the graph .
Negative values of h shift the graph

Answer 1

Changing the value of h shifts the graph horizontally. Positive values of h shift the graph to the right. Negative values shift left.

Note: there is a minus sign in front while the value of h is positive, i.e. |x - 5| is shifted 5 units to the right, and |x - (-5)| = |x + 5| is shifted 5 units to the left.

Answer 2

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Answer:

• positive: right
• negative: left

Explanation:

In the transformed function f(x-h), the value of h is the right shift of the parent function.

For h positive, shift is to the right.

For h negative, shift is to the left.