SOLUTION: Given the following quadratic function: f(x) = x squared - 2x - 8, (1) Rewrite the function in vertex form. Identify the vertex.

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> SOLUTION: Given the following quadratic function: f(x) = x squared - 2x - 8, (1) Rewrite the function in vertex form. Identify the vertex.      Log On


   

Question 59229: Given the following quadratic function: f(x) = x squared - 2x - 8,
(1) Rewrite the function in vertex form. Identify the vertex.
Answer by funmath(2933) About Me  (Show Source):
You can put this solution on YOUR website!
Given the following quadratic function: f(x) = x ^2 - 2x - 8,
(1) Rewrite the function in vertex form. Identify the vertex.
Vertex form is: highlight%28f%28x%29=a%28x-h%29%5E2%2Bk%29, where (h,k)=vertex.
We need to create a perfect square trinomial by adding and subtracting the same number, so you are really only adding 0.
:
f(x)=x^2-2x-8
f(x)=(x^2-2x+__)-___-8 Fill the blanks with (1/2(-2))^2=(-1)^2=1
f%28x%29=%28x%5E2-2x%2B1%29-1-8
f%28x%29=%28x-1%29%5E2-9
The vertex (h,k)=(1,-9)
Happy Calculating!!!