Kathye P. answered • 11/16/12

Math Geek, passionate about teaching

Hi, Ana.

The number inside the parentheses with the x tells us the horizontal shift; a -3 means the graph moves to the **right 3**.

The constant tells us the vertical movement of the graph; the +4 tells us that the graph moves **up 4**.

Your vertex is now at (3,4).

Not appicable to this case, but a coefficient multiplied by the (x-3) would tell us the vertical stretch of the graph.

Hope this helps!

Kathye P.

You're right - I wanted to mention the information about the coefficient's effect on the graph, but it was not worded well. I'll clarify that.

11/16/12

Michael B.

One note - the 'vertical stretch' coefficient should be applied outside the parentheses. Putting a coeffient inside the parentheses will also create a vertical stretch, but it will also have other [possibly undesirable] effects such as additional horizontal translation and horizontal stretching/compression (it depends on how you look at it).

11/16/12