# What is the vertex of #y=3(x-3)^2-x^2+12x - 15#?

First simplify the equation so that it is in standard form of:

Change this into the form:

Apply

Substitute

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Given:

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Write as:

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Substitute value at (2) into equation (1) giving:

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The vertex of the function (y = 3(x - 3)^2 - x^2 + 12x - 15) is (-3, 6).

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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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