SOLUTION: 1.) Find the x value of the vertex of the following equation: h(x) = 2x� + x + 6 2.) Find the maximum value of the following equation: g(x) = -x� + 2x

SOLUTION: 1.) Find the x value of the vertex of the following equation: h(x) = 2x� + x + 6 2.) Find the maximum value of the following equation: g(x) = -x� + 2x - 8 Thank you!

Question 726576: 1.) Find the x value of the vertex of the following equation: h(x) = 2x� + x + 6
2.) Find the maximum value of the following equation: g(x) = -x� + 2x - 8
Thank you!
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
1.) Find the x value of the vertex of the following equation: h(x) = 2x� + x + 6
y=2x^2+x+6
complete the square:
y=2[(x^2+(1/2)x+(1/16)]-1/8+6
y=2(x+(1/4))^2+(47/8)
vertex: (-1/4,47/8)
x value of the vertex=-1/4
..
2.) Find the maximum value of the following equation: g(x) = -x� + 2x - 8
y=-x^2+2x-8
complete the square:
y=-(x^2-2x+1)+1-8
y=-(x-1)^2-7
vertex:(1,-7)
maximum value=-7
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