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HOW TO SOLVE: With what parameter "k" value would function's y=2x²+4x+5k smallest value be -8

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You have positive number next to x^2 so the arms of parabola are going upwards and the lowest point is the apex of the parabola. You should know the formula for its coordinates (if you dont you have to look them up) and just use the one for the y coordinate. Since the lowest value is supposed to be -8 then make it equal to -8.

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