# How is the graph of #h(x)=-7-x^2# related to the graph of #f(x)=x^2#?

Rotates the graph by 180 degrees bout its vertex and then lowers it by 7.

The vertex for each being in the same place of

The

Example Consider

Set

Then

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Vertically lower this point by 7 and call the new point

So just considering the coordinates we have:

...................................................................................................

Compare to

Set

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The graph of ( h(x) = -7 - x^2 ) is the reflection of the graph of ( f(x) = x^2 ) across the x-axis and shifted down 7 units.

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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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