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Laabri

Algebra 2 2-6 Guided Practice: Families of Functions

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Last updated almost 4 years ago
29 Nsɛmmisa
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F.BF.3
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1.

Video Check: Select all that apply with regards to the video embedded directly above this item.

Solve It! The equation of the line is:

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F.BF.3
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F.BF.3
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4.

Video Check: Select all that apply with regards to the video embedded directly above this item.

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5.

Take Note: Define parent function.

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6.

Take Note: Define transformation of the graph of a function. You may use the canvas to help illustrate your written response.

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7.

Take Note: Define vertical translation and horizontal translation. You may use the canvas to help illustrate your written response.

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8.

Problem 1 Got It? How are the functions related?

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9.

Problem 1 Got It? How are the graphs of the functions related?

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10.

Problem 1 Got It? Graph both functions. Zoom and pan your graph to establish an appropriate viewing window.

Graph 1: y=2x

Graph 2: y=2x-3

  • Klik Graph tab (Graph 1, Graph 2, ne nea ɛkeka ho) so ma graph biara a ɛsɛ sɛ wobɔ.
  • Klik graph no akyi na fa asɛm bi ka ho. Fa nsɛntitiriw abien ka ho na yɛ graph. Twe asɛm bi anaa kyerɛw x ne y coordinates na sesa ne gyinabea. Klik asɛm bi so na popa.
  • Sɛ wobɔ wo graph no wie a, wubetumi ahyɛ dashed line box no mu.
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11.

Video Check: Select all that apply with regards to the video embedded directly above this item.

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12.

Problem 2 Got It? Consider the projectile altitude f(x) of the airplane shown in Problem 2.

Suppose the flight leaves 30 minutes early. What function represents this transformation?

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13.

Video Check: Select all that apply with regards to the video embedded directly above this item.

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14.

Take Note: Define reflection as it pertains to graphs of functions. You may use the canvas to help illustrate your written response.

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19.

Problem 3 Got It?

F.BF.3
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20.

Video Check: Select all that apply with regards to the video embedded directly above this item.

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21.

Take Note: Define vertical stretch and vertical compression. You may use the canvas to help illustrate your written response.

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24.

Problem 4 Got It? For the function f(x) shown in Problem 4 and in the table below, what is the corresponding table for the transformation h(x)? Complete the table for h(x) on the canvas. Use a color other than black.

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25.

Problem 4 Got It? Reasoning: If several transformations are applied to a graph, will changing the order of transformations change the resulting graph? Explain.

Hint: consider the following transformations of the parent function f(x) = x:

  • Stretch f(x)=x vertically by a factor of 2 THEN translate up 1 unit.

  • Translate f(x)=x up 1 unit THEN stretch vertically by a factor of 2.

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26.

Video Check: Select all that apply with regards to the video embedded directly above this item.

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27.

Problem 5 Got It?

F.BF.3
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28.

Problem 5 Got It?

F.BF.3
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29.

🧠 Retrieval Practice:

Summarize the mathematical content of this lesson. What topics, ideas, and vocabulary were introduced?

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2.

How could you change the y-intercept so the graph of a second equation passes through point P?

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3.

How could you change the slope so the graph of a second equation passes through point P?

The graph of y = 2x - 3 is the graph of y = 2x translated left 3 units.

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15.

Take Note: What does it mean to reflect a graph in the x-axis? You may use the canvas to illustrate your explanation.

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16.

Take Note: What does it mean to reflect a graph in the y-axis? You may use the canvas to illustrate your explanation.

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17.

Take Note: Which of the following functions represents a reflection in the y-axis of the function f(x)?

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18.

Take Note: Which of the following functions represents a reflection in the x-axis of the function f(x)?

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22.

Take Note: Which of the following functions represents a vertical stretch of the function y=f(x)?

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23.

Take Note: Which of the following functions represents a vertical compression of the function y=f(x)?