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Common Core Standard HSF-BF.B.3 Questions

Identify the effect on the graph of replacing f(x) by f(x) + k, k f(x), f(kx), and f(x + k) for specific values of k (both positive and negative); find the value of k given the graphs. Experiment with cases and illustrate an explanation of the effects on the graph using technology. Include recognizing even and odd functions from their graphs and algebraic expressions for them.

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Grade 11 Functions and Relations CCSS: HSF-BF.B.3
If y = f(x) is transformed to y = f(x) - 2, the function                     .
  1. shifts right 2 units
  2. shifts down 2 units
  3. shifts left 2 units
  4. shifts up 2 units
Grade 11 Functions and Relations CCSS: HSF-BF.B.3
The function f(x) = x³ - x is__.
  1. Even
  2. Odd
  3. Neither
  4. Both a and b
Grade 11 Functions and Relations CCSS: HSF-BF.B.3
If g(x) = f(x) - 3, how does the graph of g(x) compare to f(x)?
  1. Shifted up 3 units
  2. Shifted down 3 units
  3. Vertically stretched by 3
  4. Vertically compressed by 3
Grade 10 Quadratic Equations and Expressions CCSS: HSF-BF.B.3
Which option best describes the transformations of the graph of the function y=2(x-1)2 from the parent function?
  1. Move up one and stretch vertically
  2. Move up one and compress vertically
  3. Move right one and stretch vertically
  4. Move down one and compress vertically
Grade 11 Functions and Relations CCSS: HSF-BF.B.3
If y = f(x) is transformed to y = 0.5f(x), the function                      .
  1. becomes "skinnier"
  2. becomes "fatter"
  3. shifts up 0.5 units
  4. shifts down 0.5 units
Grade 11 Functions and Relations CCSS: HSF-BF.B.3
Where the graph of y = ln(x+4) is shifted?
Grade 11 Functions and Relations CCSS: HSF-BF.B.3
For y = -2|x+1|What are the transformations?
Grade 11 Functions and Relations CCSS: HSF-BF.B.3
Write down the period of y = tan(2x).
Grade 11 Functions and Relations CCSS: HSF-BF.B.3
If y = f(x) is changed to y = f(-x), the function                             .
  1. is reflected over the x-axis
  2. is reflected over the y-axis
  3. becomes "skinnier"
  4. becomes "fatter"
Grade 11 Functions and Relations CCSS: HSF-BF.B.3
If y = f(x) is transformed to y = f(0.5x), the function                       .
  1. shifts left 0.5 units
  2. shifts right 0.5 units
  3. becomes "skinnier"
  4. becomes "fatter"
Grade 11 Functions and Relations CCSS: HSF-BF.B.3
Which function is odd?
  1. f(x)=x2
  2. f(x)=x3
  3. f(x)=|x|
  4. f(x)=COS(x)
Grade 11 Functions and Relations CCSS: HSF-BF.B.3
The amplitude of y = -3cos(x) is_.
  1. -3
  2. 3
  3. π
  4. 2π
Grade 11 Functions and Relations CCSS: HSF-BF.B.3
If f(x) is reflected over the x-axis then shifted up 2 units, the new function is__.
  1. -f(x) + 2
  2. f(-x) + 2
  3. -f(x + 2)
  4. f(-x + 2)
Grade 11 Functions and Relations CCSS: HSF-BF.B.3
If y = f(x) is changed to y = -f(x), the function                             .
  1. is reflected over the x-axis
  2. is reflected over the y-axis
  3. becomes "skinnier"
  4. becomes "fatter"
Grade 11 Functions and Relations CCSS: HSF-BF.B.3
Which of the following describes a quadratic function that has been shifted to the left 4 units?
  1. f(x)=x2+4
  2. f(x)=x2-4
  3. f(x)=(x-4)2
  4. f(x)=(x+4)2
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