SOLUTION: what is the vertex form to 3x^2+12x+20
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Question 683283: what is the vertex form to 3x^2+12x+20
Found 2 solutions by jim_thompson5910, Onmyoji.S:
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
y = 3x^2+12x+20
y - 20 = 3x^2+12x
y - 20 = 3(x^2+4x)
y - 20 = 3(x^2+4x+4-4)
y - 20 = 3((x^2+4x+4)-4)
y - 20 = 3((x+2)^2-4)
y - 20 = 3(x+2)^2-3*4
y - 20 = 3(x+2)^2-12
y = 3(x+2)^2-12+20
y = 3(x+2)^2 + 8
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So after completing the square,
3x^2+12x+20
turns into
3(x+2)^2 + 8
which is now in vertex form.
Answer by Onmyoji.S(32) (Show Source): You can put this solution on YOUR website!
3x²+12x+20
because x-coordinate of the vertex form is -b/2a
so x=-12/2(3)
x=2
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