Question

The parent function (x) = x3 is represented by graph A. Graph A is transformed to get graph B and graph C. Write the functions represented bygraph B and graph C.Graph B represents the function g(x)=Graph C represents the function /x)=

Answer 1

Given:

The parent function is

$f(x)=x^3$

represented by graph A. Graph A is transformed to get graph B and graph C.

Required:

To find the function B and C by using the graph.

Explanation:

The graph B represents the function g(x) :

Here the graph shifts 2 units down.

So

$g(x)=x^3-2$

The graph C represents the function h(x) :

Here the transformed function have horizontal compression of 2 units.

$h(x)=2x^3$

Final Answer:

$\begin{gathered} g(x)=x^3-2 \\ h(x)=2x^3 \end{gathered}$