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# Basic Transformations - Concept

###### Carl Horowitz

###### Carl Horowitz

**University of Michigan**

Runs his own tutoring company

Carl taught upper-level math in several schools and currently runs his own tutoring company. He bets that no one can beat his love for intensive outdoor activities!

When graphing polynomials, **basic transformations** occur when a graph either shifts along the x-axis or y-axis and/or dilates. When graphing transformations, a dilation occurs when the "a" term value is changed. Dilations cause the parabola to either open a different direction or change shape. A shift occurs when a graph doesn't change shape but moves along the x or y axis.

Transforming basic graphs okay, so for this particular example we're going to be talking about the graph of x squared okay. We here at, right before you came in I made a table and plotted a basic x squared graph. And what transformations are basically different ways we can move a graph around okay. We can move this graph up and down, we can move it side to side, we can even flip it up-side-down it'll mean different things Mathematically to this graph.

Okay we're going to take a look at how these all piece together, what we can do to move the graph in different ways.

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###### Carl Horowitz

B.S. in Mathematics University of Michigan

He knows how to make difficult math concepts easy for everyone to understand. He speaks at a steady pace and his step-by-step explanations are easy to follow.

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