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

The equation of the function F(x) is:

`F(x)=3x^2-3`

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`