Question

Describe the transformation fromthe graph of f to the graph of h. Write an equation that represents h in terms of x. So confused! #10

Answer 1

ANSWER :

The graph of h(x) is the transformation of f(x) when shifted 4 units upward.

The equation of h(x) in terms of x is :

$h(x)=-(x+1)^{2}+2$

EXPLANATION :

From the problem, we have :

$\begin{gathered} f(x)=-(x+1)^2-2 \\ h(x)=f(x)+4 \end{gathered}$

We can say that h(x) is the result when f(x) is translated 4 units upward.

That will be :

$\begin{gathered} h(x)=[-(x^+1)^2-2]+4 \\ h(x)=-(x+1)^2+2 \end{gathered}$