$\"\"$

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The function is $\"\"$ .

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The parent function is $\"\"$ .

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Properties of power functions:

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The graph of $\"\"$ is always contains the points $\"\"$ , $\"\"$ and $\"\"$ .

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Graph the parent function $\"\"$ .

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1). Draw a coordinate plane.

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2). Plot the points.

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3). Connect the points with smooth curve.

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$\"\"$

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$\"\"$

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Consider the function $\"\"$ .

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Vertical shrink:

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The graph of $\"\"$ , shrinks the graph of $\"\"$ vertically by a factor of $\"\"$ .

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Horizontal shift:

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The graph of $\"\"$ , shifts the graph of $\"\"$ horizontally at a

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distance of $\"\"$ unit towards right.

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The graph of $\"\"$ contains the points $\"\"$ , $\"\"$ and $\"\"$ .

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Graph :

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Draw the coordinate plane.

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Plot the points.

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Graph the transformed function $\"\"$ . $\"\"$

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$\"\"$

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Vertical shift:

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The graph of $\"\"$ shifts the graph of $\"\"$

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a distance of $\"\"$ units downward.

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The graph of $\"\"$ contains the points $\"\"$ , $\"\"$ and $\"\"$ .

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Graph :

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Draw the coordinate plane.

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Plot the points.

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Graph the transformed function $\"\"$ .

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$\"\"$

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$\"\"$

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The graph of $\"\"$ :

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$\"\"$