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 :
[tex]h(x)=-(x+1)^{2}+2[/tex]
EXPLANATION :
From the problem, we have :
[tex]\begin{gathered} f(x)=-(x+1)^2-2 \\ h(x)=f(x)+4 \end{gathered}[/tex]
We can say that h(x) is the result when f(x) is translated 4 units upward.
That will be :
[tex]\begin{gathered} h(x)=[-(x^+1)^2-2]+4 \\ h(x)=-(x+1)^2+2 \end{gathered}[/tex]
