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You can find it by taking the derivative of the function and solving for zero:

y = -4x2 - 24x - 29

∴ y' = -8x - 24

Let y' = 0:

0 = -8x - 24

8x = -24

x = -3

Now you can plug that x value into the original equation to get it's corresponding y co-ordinate:

y = 4(-3)2 - 24(-3) - 29

∴ y = 27 + 72 - 29

∴ y = 70

So the vertex is at the point {-3, 70}

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14y ago

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