How do you describe the transformation in #y = (2x + 1)^2  2#?
First you factor, and then describe the transformation.
Now you describe the transformation:
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The transformation in the equation (y = (2x + 1)^2  2) involves several operations applied to the parent function (y = x^2):

Horizontal translation: The term (2x + 1) inside the parentheses shifts the graph of (y = x^2) horizontally left by 1 unit.

Vertical transformation: Subtracting 2 from the expression shifts the graph of (y = (2x + 1)^2) vertically downward by 2 units.

Vertical stretching or compression: The coefficient 2 outside the parentheses causes a vertical stretching of the graph by a factor of 2.
Therefore, the transformation in (y = (2x + 1)^2  2) can be described as a horizontal translation of 1 unit to the left, a vertical translation of 2 units downward, and a vertical stretching by a factor of 2.
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When evaluating a onesided 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 onesided 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 onesided 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 onesided 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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