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(a)

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The parent function is \"\" and \"\".

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Consider \"\".

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Compare it with \"\".

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\"\".

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Amplitude\"\".

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Period\"\"

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\"\" \"\".

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Find the left and right end points of one cycle by solving the equations \"\" and \"\".

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Solve the equations \"\" and \"\".

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\"\"

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\"\"

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\"\".

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\"\"

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\"\"

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\"\".

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\"\".

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The graph of \"\" is obtained by a horizontal shrink of four and one cycle of \"\" corresponding to the interval \"\".

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Graph :

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\"\" \"\"

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(b)

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Graph \"\".

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Amplitude \"\".

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Period\"\".

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Make a table to find the solutions that satisfies the equation.

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\"\"

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\"\"

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\"\"

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\"\"

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\"\"

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\"\"

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\"\"

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\"\"
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\"\"

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\"\"

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\"\"

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\"\"
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 \"\"

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\"\"

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\"\"

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\"\"
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\ \ \"\"

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\"\"

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\"\"

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\"\"

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Draw the coordinate plane.

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Plot the points found in the table and connect the curve.

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\"\"

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\"\"

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(c)

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The function \"\" in terms of \"\".

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\"\".

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\"\"

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(a)

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The graph of \"\" is obtained by a horizontal shrink of four, and one cycle of \"\" corresponding to the interval \"\".

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(b)

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\"\"

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(c)

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\"\".