Step 1:

Points on the graph of the function are , , and .

(a)

The function is .

To obtain the graph of , shift the graph by 3 units upward.

Determine the points by substituting .

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Graph :

Graph the function .

(1) Draw the coordinate plane.

(2) Plot the points.

(3) Connect the plotted points.

Step 2:

(b)

The function is .

To obtain the graph of , shift the graph by 2 units to the left.

Determine the points by substituting .

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Graph :

Graph the function .

(1) Draw the coordinate plane.

(2) Plot the points.

(3) Connect the plotted points.

Step 3:

(c)

The function is .

To obtain the graph of , reflects the graph about the axis.

Determine the points by substituting .

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Graph :

Graph the function .

(1) Draw the coordinate plane.

(2) Plot the points.

(3) Connect the plotted points.

Step 4:

(d)

The function is .

To obtain the graph of , shifts the graph by 2 units downward and 1 unit towards left.

Determine the points by substituting and .

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Graph :

Graph the function .

(1) Draw the coordinate plane.

(2) Plot the points.

(3) Connect the plotted points.

Step 5:

(e)

The function is .

To obtain the graph , shrink the graph vertically by a factor of 2.

Determine the points by substituting .

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Graph :

Graph the function .

(1) Draw the coordinate plane.

(2) Plot the points.

(3) Connect the plotted points.

Step 6:

(f)

The function is .

To obtain the graph , reflect the graph of about the axis.

Determine the points by substituting .

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Graph :

Graph the function .

(1) Draw the coordinate plane.

(2) Plot the points.

(3) Connect the plotted points.

Step 7:

(g)

The function is .

To obtain the graph , shrink the graph horizontally by a factor of 2.

Determine the points by substituting .

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Graph :

Graph the function .

(1) Draw the coordinate plane.

(2) Plot the points.

(3) Connect the plotted points.