Question

Y=x^2-10x-18

Write down the information that can be obtained from the equation above?
Determine the vertex form

Answer 1

Vertex form is y=(x-5)^2-43

Explanation:

Given expression: x^2-10x-18

Take half of b:

-10/2=-5

Square the result:

-5^2=25

Add and subtract into original expression:

x^2-10x+25-25-18

Factor and simplify:

(x^2-10x+25)-25-18

(x-5)^2-25-18

(x-5)^2-43

So the vertex form is y=(x-5)^2-43