Question

The functions f(x) and g(x) are shown on the graph f(x)=^2 what is g(x)

Answer 1

i thank it is B i hope that helped

Answer 2

Option B -
`g(x)=3x^2`

Explanation:

Given : The function f(x) and g(x) are shown in the graph.

To find : What is g(x)?

Solution :

The parent function
`f(x)=x^2`

with the vertex (0,0)

The graph of g(x) is the translation of f(x)

The parent function is horizontally compressed.

Transformation to horizontally compressed,

f(x)→f(bx) , the graph of f(x) is horizontally compressed by b unit.

And the graph of
`g(x)=3x^2`

with the vertex (0,0)

As
`g(x)=3x^2` also satisfied the point (2,12).

`g(x)=3(2)^2=3(4)=12`

Refer the attached graph below.

Therefore, Option B is correct.