Question

What is the vertex and the equation of the axis of symmetry of the graph of y=x^2-6x-7?

Answer 1

okay so to find the x point of the vertex you use the equation x = -b/2a
using the coefficients from the equation:
a = 1, b = -6 and c = -7
so your equation would look like this:
x = -(-6)/2(1) then you just solve it
x = 6/2
x = 3

now that you have the x value you can put it in the equation for y

Answer 2

Awesome, thank you!

Answer 3

another way to do this is by rewriting the equation in vertex form
x^2 - 6x - 7
= (x - 3)^2 - 9 - 7

= (x - 3)^2 - 16

this shows that the vertex is at (3,-16)

and axis of symmetry is x = 3