Given f(x) = x^2 − 2x − 5.

enter the quadratic function in vertex form in the box.

Step-by-step explanation:

You need to know:

Vertex form =

The vertex is at

(h, k)

Need to know about perfect squares

Need to know how to complete the square.

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To convert you need to complete the square on the equation.

Complete the Square

Divide -2 by 2 and then square it.

Add the one to the parentheses and subtract the one from the 5

Square  

Now we have

Next add -5 - 1 = -6

Our quadratic is in vertex form now.

Vertex form =

our equation =  

Vertex = (1, -6)

answer: (3,11) is your answer.