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Points on the graph of the function are $\"\"$ , $\"\"$ , $\"\"$ and $\"\"$ .

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(a)

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The function is $\"\"$ .

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$\"\"$ , shift the graph of $\"\"$ $\"\"$ units up.

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To obtain the graph of $\"\"$ , shift the graph $\"\"$ by $\"\"$ units upward.

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Replace $\"\"$ by $\"\"$ .

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The points $\"\"$ , $\"\"$ , $\"\"$ and $\"\"$ are on $\"\"$ .

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Therefore, the points $\"\"$ and $\"\"$ are on $\"\"$ .

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Graph :

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Graph the function $\"\"$ :

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$\"\"$

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(b)

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The function is $\"\"$ .

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$\"\"$ , shift the graph of $\"\"$ $\"\"$ units to the left.

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To obtain the graph of $\"\"$ , shift the graph $\"\"$ by $\"\"$ units to the left.

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Replace $\"\"$ by $\"\"$ .

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The points $\"\"$ , $\"\"$ , $\"\"$ and $\"\"$ are on $\"\"$ .

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Therefore, the points $\"\"$ and $\"\"$ are on $\"\"$ .

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Graph :

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Graph the function $\"\"$ .

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$\"\"$

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(c)

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The function is $\"\"$ .

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To obtain the graph of $\"\"$ , reflects the graph $\"\"$ about the $\"\"$ axis.

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The graph of $\"\"$ is obtained from $\"\"$ by multiplying each $\"\"$ -coordinate of $\"\"$ by $\"\"$ .

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The points $\"\"$ , $\"\"$ , $\"\"$ and $\"\"$ are on $\"\"$ .

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Therefore, the points $\"\"$ and $\"\"$ are on $\"\"$ .

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Graph :

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Graph the function $\"\"$ .

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$\"\"$

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(d)

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The function is $\"\"$ .

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To obtain the graph of $\"\"$ , shifts the graph $\"\"$ by $\"\"$ unit towards left. and $\"\"$ units downward.

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The points $\"\"$ , $\"\"$ , $\"\"$ and $\"\"$ are on $\"\"$ .

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Then the points $\"\"$ and $\"\"$ are on $\"\"$ .

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Therefore, the points $\"\"$ and $\"\"$ are on $\"\"$ .

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Graph :

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Graph the function $\"\"$ .

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$\"\"$

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(e)

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The function is $\"\"$ .

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To obtain the graph of $\"\"$ is obtained from $\"\"$ , divide each $\"\"$ -coordinate of $\"\"$ by $\"\"$ .

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The points $\"\"$ , $\"\"$ , $\"\"$ and $\"\"$ are on $\"\"$ .

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Therefore, the points $\"\"$ and $\"\"$ are on $\"\"$ .

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Graph :

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Graph the function $\"\"$ .

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$\"\"$

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(f)

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The function is $\"\"$ .

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To obtain the graph $\"\"$ , reflect the graph of $\"\"$ about the $\"\"$ axis.

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Replace $\"\"$ by $\"\"$ .

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The points $\"\"$ , $\"\"$ , $\"\"$ and $\"\"$ are on $\"\"$ .

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Therefore, the points $\"\"$ and $\"\"$ are on $\"\"$ .

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Graph :

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Graph the function $\"\"$ .

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$\"\"$

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(g)

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The function is $\"\"$ .

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To obtain the graph of $\"\"$ is obtained from $\"\"$ , multiply each $\"\"$ -coordinate of $\"\"$ by $\"\"$ .

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The points $\"\"$ , $\"\"$ , $\"\"$ and $\"\"$ are on $\"\"$ .

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Therefore, the points $\"\"$ and $\"\"$ are on $\"\"$ .

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Graph :

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Graph the function $\"\"$ .

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$\"\"$

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(a) Graph of $\"\"$ .

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$\"\"$

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(b) Graph of $\"\"$ .

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$\"\"$

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(c) Graph of $\"\"$ .

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$\"\"$

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(d) Graph of $\"\"$ .

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$\"\"$

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(e) Graph of $\"\"$ .

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$\"\"$

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(f) Graph of $\"\"$ .

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$\"\"$

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(g) Graph of $\"\"$ .

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$\"\"$ .