The graph of the parent function f(x) = x2 is dashed and the graph of the transformed function g(x) = (x – h)2 is solid. Use the slider to change the value of h. How does changing the value of h affect the vertex? If h = 3, the vertex shifts to . If h = –5, the vertex shifts to

Answer :

The graph of the parent function f(x) = x2 is dashed and the graph of the transformed function g(x) = (x – h)2 is solid.

If h=3 the vertex shifts to (3,0). 

If h=-5 the vertex is shifted to (-5,0)

I hope this helps! Sorry no one got back to you in the past few days ):

Following are the calculation to the given function:

Given:

[tex]\bold{f(x)=x^2}\\\\\bold{g(x)=(x-h)^2}\\\\[/tex]

When

[tex]\bold{h=3 \ \ and \ \ -5}[/tex]

To find:

vertex shifts=?

Solution:

[tex]\bold{f(x)=x^2}\\\\\bold{g(x)=(x-h)^2}\\\\[/tex]

  • A graph of a parent function is [tex]\bold{f(x) = x^2}[/tex] is dotted, while the graph of the modified function [tex]\bold{g(x) = (x - h)^2}[/tex] is solid.
  • When h=3, the vertex is shifted to (3,0).
  • When h=-5, the vertex is shifted to (-5,0).

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