Question 567571: Tell whether y=-3x^2+18x-20 has a minimum value or a maximum value?Then find the minimum or maximum value.
Answer by lwsshak3(11628)   (Show Source):
You can put this solution on YOUR website! Tell whether y=-3x^2+18x-20 has a minimum value or a maximum value?Then find the minimum or maximum value.
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Second degree equations are parabolas.
Standard form of equation for a parabola which opens downwards: y=-A(x-h)^2+k, with (h,k) being the (x,y) coordinates of the vertex. A is a multiplier which affects the slope of the curve. The negative lead coefficient means the parabola opens downward and therefore, has a maximum value.
y=-3x^2+18x-20
complete the square
y=-3(x^2-6x+9)-20+27
y=-3(x-3)^2+7
..
given parabola has a maximum=7 at x=3
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