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

To find:

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

Solution:

We have,

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

Now,

It can be written as

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.

the domain of a function is the set of input values, x , for which a function is defined. the domain is shown in the left oval in the picture below. the function provides an output value, f(x) , for each member of the domain.