Question

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

Answer 1

Answer:

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

Step-by-step 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.

Answer 2

i thank it is B i hope that helped