SOLUTION: what is the vertex form of y=3x^2-24x +21

Question 683186: what is the vertex form of y=3x^2-24x +21
Found 2 solutions by nerdybill, Onmyoji.S:
Answer by nerdybill(7384) (Show Source): You can put this solution on YOUR website!
what is the vertex form of y=3x^2-24x +21
.
We can find it by "completing the square":
y=3x^2-24x +21
group x's:
y=(3x^2-24x) +21
factor out a 3:
y=3(x^2-8x) +21
complete square:
y=3(x^2-8x+16) +21 - (3*16)
y=3(x^2-8x+16) +21 - 48
y=3(x^2-8x+16) - 27
y=3(x-4)^2 - 27 (this is the vertex form)

Answer by Onmyoji.S(32) (Show Source): You can put this solution on YOUR website!
y=3x�-24x+21
vertex form：-b/2a
= -(-24)/2*3
=4
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