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Mathematics
9th
grade
Transformation of Linear and Exponential Functions
22 questions
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- 1. Multiple ChoiceWhat type of function is shown?absolute valuequadraticlinearexponential
- 2. Multiple ChoiceWhat type of function is shown?exponentiallinearquadraticsquare root
- 3. Multiple Choice
Which transformation will occur if f(x) = x is replaced with 2f(x)?
Vertical stretch by a factor of 2
Vertical compression by a factor of 1/2
Vertical translation up by 2 units.
Horizontal compression by a factor of 1/2
- 4. Multiple Choice
How did the equation shift from the parent function?
y = f(x) + c
Shifted up "c" units
Shifted down "c" units
Stretches vertically
Shifted right "c" units
- 5. Multiple Choice
Which transformation on
f(x) = x
is g(x) = -f(x)
Reflection across the y-axis
The slope will be less steep
The graph will be wider
Reflection across the x-axis.
- 6. Multiple Choice
How did the equation shift from the parent function? y = f(x - 4)
Shift right by 4
Shift left by 4
Horizontal Stretch by 4
Vertical Stretch by 4
Shift down by 4
- 7. Multiple Choice
How did the equation f(x) = x change if
g(x) = 1/2f(x) + 11
Vertical stretch and shift up 11
Horizontal shrink and shift down 11
Vertical shrink and shift up 11
Horizontal stretch and shift down 11
- 8. Multiple ChoiceWhat kind of shift is represented?up 1 unitleft 1 unitright 1 unitdown 1 unit
- 9. Multiple ChoiceWhat transformations occur in the following function?right 3, up 2left 3, up 2left 3, down 2right 3, down 2
- 10. Multiple ChoiceWhat kind of shift happens with this function?4 points up4 points to the left4 points to the right4 points down
- 11. Multiple ChoiceWhat is the transformation?Vertical Translation up 2Vertical Translation down 2Horizontal Translation left 2Horizontal Translation right 2
- 12. Multiple ChoiceWhat is the transformation?Vertical Translation up 2 and Horizontal translation right 1Vertical Translation down 2 and Horizontal Translation left 1Horizontal Translation left 2 and Vertical Translation up 1Horizontal Translation right 2 and Vertical Translation down 1
- 13. Multiple ChoiceWhat is the transformation?Vertical Translation up 1Vertical Translation down 1Horizontal Translation left 1Horizontal Translation right 1
- 14. Multiple ChoiceWhat equation would yield a transformation right 3 units if your initial function was y=2xy=2x-3y=2x+3y=2x+3y=2x-3
- 15. Multiple ChoiceCompare f(x) = 3x- 4 with the basic function g(x) = 3x4 units up4 units to the left4 units to the right4 units down
- 16. Multiple ChoiceWhat is the transformation?Horizontal Translation left 2Vertical Translation down 2NoneReflection across the line y=0
- 17. Multiple ChoiceWhat transformations have happened to f(x) = 2x if the new equation is
g(x) = -2(x+3) -6It stayed the samereflects, up 3, left 6reflects, right 3, down 6reflects, left 3, down 6 - 18. Multiple Choice
Name the transformation(s):
f(x) = -x + 8
g(x) = x + 4
Reflection
Reflection, vertical shift down 4
Vertical shift down 4
Reflection, vertical shift up 4
- 19. Multiple Choice
Rewrite f(x) = 2x - 1 shifted up three units and the slope doubled
f(x) = 5x - 2
f(x) = 4x + 2
f(x) = 4x + 3
f(x) = 5x - 4
- 20. Multiple Choice
Choose ALL the equations that have the
same steepness as y = 3/4x + 9
y = -3/4x - 6
y = 0.75x + 1
y = -4/3x + 9
y = -9/12x - 2
- 21. Multiple Choice
Given the graph above, which equation shifts line down 5 units?
y = 4x - 1
y = 2x - 6
y = 4x - 6
y = 2x - 1
- 22. Multiple Choice
Compare the equations f(x) = 12x + 2 and g(x) = 6x – 2. Which best describes the transformation(s) from f(x) to g(x)?
Vertical shift down 2, less steep slope
Vertical shift up 4, double the slope
Vertical shift down 4, half the slope
Steeper by 2
- Answer choicesTagsAnswer choicesTags