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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
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 compressed horizontally by factor 2, what point would replace (1,1)?
  1. (0.5,1)
  2. (2,1)
  3. (1,2)
  4. (1,0.5)
Grade 11 Functions and Relations CCSS: HSF-BF.B.3
What is the value of k in y = log(x - k)?
  1. 1
  2. 2
  3. 3
  4. 4
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 transformed to y = 2f(x), the function                                        .
  1. Vertically stretched by a factor of 2
  2. Horizontally compressed by a factor of 2
  3. Shifts up 2 units
  4. Reflects over the x-axis
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
Grade 11 Functions and Relations CCSS: HSF-BF.B.3
Which function is even?
  1. x³
  2. x²
  3. x
  4. 1x
Grade 11 Functions and Relations CCSS: HSF-BF.B.3
If y = f(x) is transformed to y = f(x) + 5, the function                    .
  1. Shifts left 5 units
  2. Shifts right 5 units
  3. Shifts up 5 units
  4. Shifts down 5 units
Grade 11 Functions and Relations CCSS: HSF-BF.B.3
When reflected over the y-axis, which point becomes (-1,3)?
  1. (1,-3)
  2. (-1,-3)
  3. (1,3)
  4. (3,-1)
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 up 2 units
  2. shifts down 2 units
  3. shifts left 2 units
  4. shifts right 2 units
Grade 11 Functions and Relations CCSS: HSF-BF.B.3
For the function f(x)=13x3, choose the best description of the transformation that has been applied to the parent function.
  1. Vertical compression
  2. Vertical stretch
  3. Horizontal compression
  4. Horizontal stretch
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