Share/Like This Page
Browse Questions

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.

You can create printable tests and worksheets from these questions on Common Core standard HSF-BF.B.3! Select one or more questions using the checkboxes above each question. Then click the add selected questions to a test button before moving to another page.

Previous Page 5 of 6 Next
Grade 11 Functions and Relations CCSS: HSF-BF.B.3
The graph of f(x+4) represents:
  1. Right shift 4 units
  2. Left shift 4 units
  3. Up shift 4 units
  4. Down shift 4 units
Grade 11 Functions and Relations CCSS: HSF-BF.B.3
Which transformation creates this from y = cos(x)?
  1. Vertical stretch by 5
  2. Vertical stretch by 5 and reflect
  3. Vertical stretch by 10
  4. Vertical stretch by 5 and shift up 5
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 11 Functions and Relations CCSS: HSF-BF.B.3
If y = f(x) is transformed to y = f(x − 3), the function                    .
  1. Shifts up 3 units
  2. Shifts down 3 units
  3. Shifts left 3 units
  4. Shifts right 3 units
Grade 11 Functions and Relations CCSS: HSF-BF.B.3
If y = f(x) is transformed to y=(12)f(x), the function__.
  1. Vertically compressed by a factor of 12
  2. Horizontally stretched by a factor of 2
  3. Shifts down 12 units
  4. Reflects over the y-axis
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 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
Previous Page 5 of 6 Next

Become a Pro subscriber to access Common Core questions

Unlimited premium printables Unlimited online testing Unlimited custom tests

Learn More About Benefits and Options