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Mathematics
9th -
11thgrade
Graphing Square Root & Cube Root Functions
16 questions
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- 1. Multiple ChoiceWhat is the parent function of the graph?y = x2y = 2√xy = √x
- 2. Multiple ChoiceWhat are the transformations for the graph of
the parent function f(x) = √x to the function aboveVertical Stretch by a factor of 2; translated down 5 unitsShifted right 2 units and down 5 unitsVertical stretch by a factor of 2; translated left 5 unitsVertical stretch by a factor of 2; translated right one unit - 3. Multiple ChoiceWhat are the transformations of this functions compared to the parent function?Shifted down 2Shifted up 2Shifted left 2Shifted right 2
- 4. Multiple ChoiceDescribe the transformation.Down 1Reflect over y-axisUp 1Reflect over x-axis
- 5. Multiple ChoiceFind the domain and range of the function
Hint: Use a scratch graph to help you visualize things.Domain: (-∞, ∞) Range: [-∞, 4]Domain: [1, ∞) Range: (-∞, 4]Domain: [-1. ∞) Range: [4, ∞)Domain: [4, ∞) Range: [-1,∞) - 6. Multiple ChoiceCreate a square root function with the following characteristics using the following graph:y = .5√(x + 1) - 2y = 2√(x - 1) + 2y = .5√(x - 1) - 2y = √(x + 1) - 2
- 7. Multiple Choicey = 2 √(x) - 4y = - √(x - 4)y = 2 √(x)y = 2 √(x) + 4
- 8. Multiple Choicey = - √(x + 1)y = √(x + 1)y = - √(x) - 1y = - √(x) + 1
- 9. Multiple ChoiceDescribe the transformation.Left 1, Reflect over x-axis, up 2Left 1, Reflect over y-axis, down 2Right 1, Reflect over x-axis, up 2Right 1, Reflect over y-axis, uo 2
- 10. Multiple ChoiceIn what Disney film do you find a group of vegetarian sharks?Toy StoryMulanFinding NemoSleeping Beauty
- 11. Multiple ChoiceWhat is the Domain of ALL Cube Root Functions?(−∞,∞)[0,∞)(−∞,0]All Cube Root Functions are different.
- 12. Multiple ChoiceWhat is the Range of ALL Cube Root Functions?(−∞,∞)[0,∞)(−∞,0]All Cube Root Functions are different.
- 13. Multiple Choice
Which function matches the graph?
A
f(x) = ∛(x + 3) + 2
B
f(x) = − ∛(x - 3) + 2
C
f(x) = ∛(x - 3) + 2
D
f(x) = ∛(x - 2) + 3
- 14. Multiple Choice
Which function matches the graph?
A
f(x) = − ∛(x + 3) − 1
B
f(x) = − ∛(x - 3) − 1
C
f(x) = ∛(x + 3) − 1
D
f(x) = ∛(x - 1) + 3
- 15. Multiple ChoiceWhat is the center point of the function?(5,-3)(5,3)(-5,-3)(-5,3)
- 16. Multiple ChoiceIf f(x) = ∛(x) is reflected over the x-axis, vertically compressed by a factor of 1/4, and shifted left 9, which equation is correct?1/4 ∛(x + 9)1/4 ∛(x - 9)- 1/4 ∛(x + 9)- 1/4 ∛(x - 9)
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