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

Positive values of h shift the graph to the right.

Negative values of h shift the graph to the left.

(Reason: the vertex of g(x)=|x−h| is at (h,0), so changing h moves the vertex horizontally.)