# How do you find the maximum value of # y = -x^2 + 8x - 4#?

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To find the maximum value of the function y = -x^2 + 8x - 4, you can follow these steps:

- Determine the derivative of the function y' = -2x + 8.
- Set the derivative equal to zero to find critical points: -2x + 8 = 0.
- Solve for x: -2x = -8, x = 4.
- Plug the critical point(s) back into the original function to find the corresponding y-value(s): y = -4^2 + 8(4) - 4 = 8.
- Therefore, the maximum value of the function is y = 8 at x = 4.

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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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