Question

Please help me );

1) Use the graph of f(x) = x2 to sketch the graph of the function h(x) = (x + 5)2

Answer 1

`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.