Question

The graph of g(x) shown below has the same shape as graph of f(x)=x2 but it is shifted right by 3 units and down by 2 units write the equation for g(x) please help !

Answer 1

Explanation

We can use the following rules of transformation of functions:

• f(x - h) moves the function ,h units right,.

,

• f(x) - k moves the function, k units down,.

So, we have:

$\begin{gathered} f(x)=x^2\Rightarrow\text{ Parent function} \\ h=3 \\ k=2 \\ g(x)=(x-3)^2-2 \end{gathered}$Answer

The equation for g(x) is:

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