Algebra 2 8-2 Independent Practice: The Reciprocal Function Family

by Matthew Richardson

| 8 Questions1

30

Graphing:

1. Without the aid of a graphing utility, sketch a graph the equation on the canvas below using the blue ink tool.

2. Graph the equation on the embedded Desmos graphing calculator above.

3. Sketch a copy of the Demos graph on the canvas below using the red ink tool.

4. Consider any discrepancies between the graphs.

Be sure to include relevant graph detail: label axes, indicate units on both axes, and use arrows to represent end behavior, as appropriate.

2

2

10

A

B

C

D

3

3

10

A

B

C

D

4

4

10

A

B

C

D

5

10

Vocabulary: What transformation changes the graph of the first equation into the graph of the second?

The graph is compressed horizontally by a factor of 2.

The graph is shifted right 2 units.

The graph is stretched horizontally by a factor of 2.

The graph is stretched vertically by a factor of 2.

6

10

Open Ended: Write an equation of a stretch and a reflection of the graph of the equation across the x-axis.

7

10

Writing: Explain how you can tell if a function in the form shown is a stretch or compression of the parent function. Reference values of 'a' in your response.

8

10

Reflection: Math Success

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