Question

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

Answer 1

formula to find x -coordinate of the vertex \[\huge\rm x=\frac{ -b }{ 2a }\]
then substitute all x for its value into the equation to find y-coordinate
a=leading coefficient
b= middle term

Answer 2

so positive 6 over 2 times -1?

Answer 3

yes right !

Answer 4

wait -1 ?

Answer 5

it's 1x^2 so should be positive

Answer 6

so (6/2(1))

Answer 7

right

Answer 8

so 6/2 =3 right ?
now substitute x for 3 into the equation

Answer 9

Factor x2−6x−7
x2−6x−7
=(x+1)(x−7)
Answer:
(x+1)(x−7)