Given:
Given that a graph of the function
[tex]f(x)=x^2[/tex]
Required:
To find the function h(x) in the graph.
Explanation:
The graph of h(x) is horizontal translate left 2 units.
Therefore,
[tex]\begin{gathered} h(x)=(x-(-2))^2 \\ \\ =(x+2)^2 \end{gathered}[/tex]
And vertical translate upward 4 units.
So,
[tex]h(x)=(x+2)^2+4[/tex]
Final Answer:
[tex]h(x)=(x+2)^2+4[/tex]
