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Mathematics
9th -
12thgrade
Transformations of Logarithmic Functions
22 questions
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- 1. Multiple ChoiceDetermine the order of transformationsleft 1, reflected over x-axisup 1, reflected over y-axisright 1, reflected over x-axisleft 1, reflected over y-axis
- 2. Multiple Choice
Select all the transformations that apply.
y = log 6 (x - 1) - 5
Horizontal shift left 1
Horizontal shift right 1
Vertical shift up 5
Vertical shift down 5
- 3. Multiple Choice
Select all the transformations that apply.
y = log 5 (x + 1) +1
Horizontal shift left 1
Horizontal shift right 1
Vertical shift up 1
Vertical shift down 1
- 4. Multiple Choice
Select all the transformations that apply.
y = -2 log 1/2 x
Vertical stretch by 2
Vertical shrink by 1/2
Reflection across the y-axis
Reflection across the x-axis
- 5. Multiple Choice
Select all the transformations that apply.
y = 3log 3 (2x)
Vertical stretch by 3
Vertical shrink by 1/3
Horizontal shrink by 1/2
Horizontal stretch by 2
- 6. Multiple ChoiceIn the general log function
y = a*logb(x-h)+k, what letter tells us if the function has moved left or right?abhk - 7. Multiple Choice
What transformation is occurring vertically? y = 2/3 log x
stretch
compression
- 8. Multiple Choice
What transformation is occurring? y = log x - 6
Horizontal shift left 6
Horizontal shift right 6
Vertical shift up 6
Vertical shift down 6
- 9. Multiple Choicefind the asymptote: y = log10 (x+3)x=-3x=3y=-3y=3
- 10. Multiple ChoiceFind the asymptote of the following: y = log10 x - 6x=6x=-6x= 0y=0
- 11. Multiple Choice
What is the asymptote of y = log2x - 3
y = 0
y = -3
x = 0
x = -3
- 12. Multiple Choice
The asymptote of y = log2x + 1 will shift...
right one to x = 1
left one to x = -1
not shift at all and remain x = 0
- 13. Multiple ChoiceClassify the following graph.Exponential GrowthExponential DecayLogarithmic
- 14. Multiple ChoiceWhich has a vertical asymptote?ExponentialLogarithmicBoth
- 15. Multiple ChoiceWhich has a horizontal asymptote?ExponentialLogarithmicBoth
- 16. Multiple ChoiceWhat is the equation of the asymptote?x = -3x=5y= -3y=5
- 17. Multiple ChoiceWhat are the transformations of this graph?Right 1 Up 5Right 1 Down 5Left 1 Up 5Left 1 Down 5
- 18. Multiple ChoiceWhat is the parent function seen here?LogarithmicExponentialSquare RootConstant Function
- 19. Multiple Choice
Describe the transformations of f(x)= -log2(x+1)
left one & y-axis reflection
right one & y-axis reflection
left one & x-axis reflection
right one & x-axis reflection
- 20. Multiple ChoiceMatch the graph with its equationy = log6(-x) + 1y = log6(x − 2) + 1y = log6(x + 2) - 1y = log(x-8) + 1
- 21. Multiple ChoiceMatch the graph with its equationy = log5 (x + 1) + 1y = log5 (x - 1) + 1y = log5 (x2) + 1y = log5 (x)-1
- 22. Multiple ChoiceMatch the graph with its equationy = log4 (x)+2y = log4 (x + 2) + 1y = log4 (x - 1) + 2y = log4 (-x + 2)
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