Question

What is the vertex of the quadratic function f(x)=(x-6)(x+2)

Answer 1

(2,-16) should be the correct answer..

Answer 2

For this case we have the following function:

`image`

We rewrite the function making distributive property.

We have then:

`image`

To find the vertex of the function, we derive:

`image`

We equal zero and clear the value of x:

`image`

`image`

We evaluate the function for the value of x obtained:

`image`

Then, the vertice of the parabola is:

`image`

Answer:

the vertex of the quadratic function f(x)=(x-6)(x+2) is:

`(x, y) = (2, -16)`