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

Last updated over 3 years ago

8 Nsɛmmisa

30

F.BF.3

10

F.BF.3

10

F.BF.3

10

F.BF.3

10

A.CED.2

F.BF.3

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1.

Graphing:
1. Without the aid of a graphing utility, sketch a graph of the equation on the canvas below using the blue ink tool.
2. Graph the equation at desmos.com.
3. Sketch a copy of the Demos graph on the canvas below using the orange 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.

10

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2.

A

B

C

D

F.BF.3

10

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3.

A

B

C

D

F.BF.3

10

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4.

A

B

C

D

F.BF.3

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5.

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 vertically by a factor of 2.

The graph is stretched horizontally by a factor of 2.

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6.

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

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7.

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

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8.

Reflection: Math Success