Question

Please help me );

Answer 1

Answer:

$f(x)=x^2$

$h(x)=(x+5)^2$

To find:

The graph of h(x) using the graph of f(x).

Solution:

We have,

$f(x)=x^2$

It a parent quadratic function. The graph of this function is an upward parabola with vertex at origin, i.e., (0,0).

Now,

$h(x)=(x+5)^2$

It can be written as

$h(x)=f(x+5)$           $[\because f(x)=x^2]$

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.