# How do you sketch the graph of #y=x^2-2x# and describe the transformation?

##### 1 Answer

The graph of

The graph of

Thus the transformation of any point is

#### Explanation:

As the coefficient of

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What we are transforming is the basis of

Let the vertex of

Note this is the same as:

Note that the y-intercept is at

So for this case the y-intercept is

Let the vertex of

By including the

So the transformation for

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The new

So by substitution for

Thus transformation for y is

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

Consequently the transformation of any point is