Question

Find the vertex of the parabola.
y=x²-6x+7

Answer 1

SO this is the standard form for parabolas

f(x) = ax² + bx + c

Answer 2

V=(-b)/(2a)
put the two together bud

Answer 3

y=x²-6x+7

a= 1
b= -6

vertex: x = -b/2a

x= -(-6) / 2(1)

x=3

Answer 4

now plau that in for x in the original equation

Answer 5

*plug

Answer 6

so y= 3^2(squarred) - 6 (3) + 7
y= -2

So vertex = (3,-2)