SOLUTION: I am having problems finding the x-intercepts of the following problem. Problem : Consider the Quadratic Function of f(x)= x^2-4x-32. Its vertex is ( ?, ?) its x-intercepts a

Question 189673: I am having problems finding the x-intercepts of the following problem.
Problem : Consider the Quadratic Function of f(x)= x^2-4x-32. Its vertex is ( ?, ?) its x-intercepts are (?,?) , its y-intercept is (?)
Ok, I figured out the vertex of the problem which are ( 2,-36) and the y-intercept which is (-32) but I am not sure how to get the x-intercepts. Could someone please help me?
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
X-Intercept(s):

Remember, the x-intercept(s) occur when f(x) (or y) is equal to zero.

Start with the given function.

Plug in

Notice we have a quadratic equation in the form of where , , and

Let's use the quadratic formula to solve for x

Start with the quadratic formula

Plug in , , and

Negate to get .

Square to get .

Multiply to get

Rewrite as

Add to to get

Multiply and to get .

Take the square root of to get .

or Break up the expression.

or Combine like terms.

or Simplify.

So the answers are or

This means that the x-intercepts are (8,0) and (-4,0)
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