Question

What is the shape and direction of f(x)=(x+7)(x+11)

Answer 1

Given:

The function is

`f(x)=(x+7)(x+11)`

To find:

The shape and direction of the given function.

Solution:

We have,

`f(x)=(x+7)(x+11)`

It can be written as

`f(x)=x^2+11x+7x+77`

`f(x)=x^2+18x+77`

It is a quadratic function and the power of
`x` is 2 so the graph of this function is a vertical parabola.

The leading coefficient is positive so the parabola opens upward.

Therefore, the given function is a vertical parabola that opens upward.