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Find the maximum/minimum value of the function. h(x)=-4x^2-4x+24

Find the maximum/minimum value of the function. h(x)=-4x^2-4x+24-example-1

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Answer:

The maximum value of h is -1/2

Explanation:

Since a is negative, the parabola opens downwards. Therefore, we look for the maximum value of h. We can find this by finding the x-coordinate of the vertex which is x=-b/2a=-(-4)/2(-4)=4/-8=-1/2

Therefore, the maximum value of h is -1/2

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