What is the vertex of #y=3(x-3)^2-x^2+12x - 15#?
Change this into the form: Apply Substitute Given: '~~~~~~~~~~~~~~~~~~~~~~~~~~~ Write as: '~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ Substitute value at (2) into equation (1) giving:
First simplify the equation so that it is in standard form of:
'~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
'~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
'~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
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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.
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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