Question

the graph of F(x) shown below has the same shape as the graph G(x)=3x^2, but is shifted down 3 units what is the equation?

Answer 1

The correct equation is G(x)=3x^2-3

Hope this helps! :)

Answer 2

Answer:

The equation of the function F(x) is:

             $F(x)=3x^2-3$

Step-by-step explanation:

We know that for any parent function f(x) the transformation of the type:

     f(x) → f(x)+k ; k>0

denotes the shift or translation of the function f(x) k units upward and the transformation of the type:

           f(x) → f(x)-k ; k>0

denotes the shift or translation of the function f(x) k units downward.

Here we have a parent function G(x) as:

   $G(x)=3x^2$

Hence, the shift of the function G(x) 3 units down is given by:

         $F(x)=3x^2-3$