Question

Find the y-coordinate of the vertex for the following function:
g(x) = x2 - 3x + 2

Answer 1

Let's complete the square

Answer 2

ok thats what im most confused on to idk how i would even start to do this
:(

Answer 3

ok you want to add (b/2)^2 and subtract (b/2)^2

Answer 4

what is b/2? ?

Answer 5

x^2-3x+(3/2)^2-(3/2)^2+2
(x-3/2)^2-9/4+2
(x-3/2)^2-1/4

Answer 6

ax^2+bx+c
To complete the square you take 1/2 of b and square it

Answer 7

you have to add this (b/2)^2 and also subtract it so its an equivalent expression

Answer 8

so i would take x-3/2 n times that by x-3/2?

Answer 9

so b/2 in this case is 3/2

Answer 10

thats completing the square, you don't do any more after what i wrote

Answer 11

if you do, you'll end up back where you started at x^2-3x+2

Answer 12

so this is the equation of a parabola in the form
y=a(x-h)^2+k

Answer 13

The vertex is (h,k)

Answer 14

so the y coordinate is -1/4?

Answer 15

right

Answer 16

and x-coordinate is 3/2

Answer 17

okay right on thank you for your help brotha!!

Answer 18

And you know what the y-coordinate is right?

Answer 19

or sista :P whatever it may be

Answer 20

you're welcome

Answer 21

yes i undertand now!! ur help was great thx again