Answer:
[tex]f(x)=x^2[/tex]
[tex]h(x)=(x+5)^2[/tex]
To find:
The graph of h(x) using the graph of f(x).
Solution:
We have,
[tex]f(x)=x^2[/tex]
It a parent quadratic function. The graph of this function is an upward parabola with vertex at origin, i.e., (0,0).
Now,
[tex]h(x)=(x+5)^2[/tex]
It can be written as
[tex]h(x)=f(x+5)[/tex] [tex][\because f(x)=x^2][/tex]
It means, the graph of f(x) shifted 5 units left to get the graph of h(x)
Therefore, the graph of both functions are shown below.
