SOLUTION: how many solutions does the equation 0=2x^2=4x+2 what is the maximum values of the function y= -3x^2+12x-8 what is the equation of the parabola with vertex (3,-20) and that p

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Question 833038: how many solutions does the equation 0=2x^2=4x+2
what is the maximum values of the function y= -3x^2+12x-8
what is the equation of the parabola with vertex (3,-20) and that passes the point (7,12)?

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
how many solutions does the equation 0=2x^2=4x+2
Comment: Too many equal signs
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what is the maximum values of the function y= -3x^2+12x-8
Max occurs when x = -b/(2a) = -12/(-6) = 2
Max value = f(2) = -3(4)+12(2)-8 = 4
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what is the equation of the parabola with vertex (3,-20) and that passes the point (7,12)?
(x-h)^2 = a(y-k)
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Substitute and solve for "a":
(7-3)^2 = a(12+2)
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16 = a(14)
a = 8/7
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(x-3)^2 = (8/7)(y+20)
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y = (7/8)(x-3)^2 - 20
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Cheers,
Stan H.
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