# What is a dilation, or scaling around a point?

*When scaling a plane around a point, the result is a plane of a different size but the same shape.
*

*It is highly-recommended to draw everything out.*

SCALING FROM A CENTERPOINT

Scaling is commonly done about

and you can see that the

In this scenario, it is clearer what has happened to each point.

In general, scaling about a central point is given as:

#color(blue)(P'(x,y) = P(kx,ky) " where " k in RR " and " k > 0)#

SCALING OFF-CENTER

Scaling might also be done from an arbitrary non-central point. For instance, scaling a triangular plane

for which

You can see that

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*Answer from HIX Tutor*

*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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