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- 1. Multiple Choice
Use the graphs of f and g to describe the transformation from the graph of f to the graph of g.The graph of g is a vertical translation 2 units up of the graph of fThe graph of f is a horizontal translation two units left of gThe graph of g is a vertical stretch by a factor of 2 of the graph of fThe graph of g is a reflection of the graph of f - 2. Multiple ChoiceUse the graphs of f and g to describe the transformation from the graph of f to the graph of g.The graph of g is a vertical translation 4 units up from the graph fThe graph of g is a horizontal translation of the graph of f, 4 units rightThe graph of g is a horizontal translation of the graph of f, 4 units leftThe graph of g is a vertical stretch of the graph of f, by a factor of 7
- 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 ChoiceWhich transformation will occur if f(x) = x is replaced with f(x) + 2?Translation left 2 unitsTranslation right 2 unitsVertical translation up by 2 units.Reflection across the x-axis.
- 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) + c
Shifted up "c" units
Shifted down "c" units
Stretches vertically
Shifted right "c" units
- 7. 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
- 8. 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
- 9. Multiple ChoiceIf the graph of the parent function f(x) = x is shifted 7 units up and is horizontally compressed by a factor of 3, what is the function?g(x) = f(7x) + 3g(x) = 3f(x) - 7g(x) = f(3x) + 7g(x) = 7x - 3
- 10. Multiple Choice
How did the equation shift from the parent function? y = -3f(x) + 5
Reflection over x-axis, steeper, up 5
Reflection over y-axis, less steep, right 5
Steeper, left 5
reflection over x-axis, less steep, up 5
- 11. Multiple ChoiceHow did the equation shift from the parent function? y = 4f(x - 3)Steeper and right 3Less steep and down 3Steeper and left 3Down
- 12. Multiple ChoiceHow did the equation shift from the parent function? y = f(x + 7)Up 7Down 7Left 7Right 7
- 13. Multiple Choice
Which equation transforms f(x) = x to a horizontal stretch by a factor of 2, a reflection over the x axis, and a shift down 4?
f(-2x - 4)
f(-1/2x) - 4
-f(2x) - 4
-f(1/2x) - 4
- 14. Multiple ChoiceDescribe the transformations of f(x) when compared to the parent function.
f(x)=x2+5horizontal shift right 5 unitshorizontal shift left 5 unitsvertical shift up 5 unitsvertical shift down 5 units - 15. Multiple ChoiceDescribe the transformations of f(x) when compared to the parent function.
f(x)=(x+7)2horizontal shift left 7 unitshorizontal shift right 7 unitsvertical shift up 7 unitsvertical shift down 7 units - 16. Multiple ChoiceIn the equation f(x)=5(x+3)2-10 what effect does the 5 do when compared to the parent function?Vertical stretch by a factor of 5Vertical shrink/compress by a factor of 5Reflect over x-axisVertical shift up 5 units
- 17. Multiple ChoiceWhich transformation transforms the graph of
f(x) = x2 to the graph of g(x) = (x + 4)2?a vertical shift 4 units upa vertical shift 4 units downa horizontal shift 4 units to the lefta horizontal shift 4 units to the right - 18. Multiple ChoiceWhich of the following describes the transformations done to the quadratic parent function of f(x) = x2 to obtain g(x) = 2x2 + 4 ?Vertical Stretch by a factor of 2 and vertical shift up 4 unitsVertical Shrink/Compress by a factor 2 and vertical shift up 4Vertical Stretch by a factor of 2 and horizontal shift left 4 unitsVertical Shrink/Compress by a factor of 2 and horizontal shift right 4 units
- 19. Multiple ChoiceDescribe the transformation of
f(x) = x2 -8 when compared to the parent functionVertical shift sp 8 unitsVertical shift down 8 unitsHorizontal shift right 8 unitsHorizontal shift left 8 units - 20. Multiple ChoiceWhat is the equation of the quadratic function obtained from vertically shrinking/compressing the parent function by 3/5 and then shifted up 8 units?f(x)= 3/5(x-8)2f(x)=3/5x2+8f(x)=x2f(x)=3/5x2-8
- 21. Multiple ChoiceWhat is the equation of the quadratic function obtained from vertically shrinking/compressing the parent function by 3/5 and then shifted up 8 units?f(x)= 3/5(x-8)2f(x)=3/5x2+8f(x)=x2f(x)=3/5x2-8
- 22. Multiple ChoiceWhat is the equation of the quadratic function obtained from horizontally shifting the parent function 17 units left and then reflecting across the x-axis?f(x)= -x2-17f(x)= -(x-17)2f(x)= -(x+17)2f(x)= -x2+17
- 23. Multiple ChoiceWhat is the equation of the quadratic function obtained from vertically stretching the parent function by a factor of 2 and then vertically shifting up 3 units?f(x)= 2(x-3)2f(x)= 2(x+3)2f(x)= 2x2+3f(x)= (x-2)2+3
- 24. Multiple ChoiceWhat is the equation of the quadratic function obtained from vertically shrinking/compressing the parent function by a factor of 0.5 and then reflecting across the x-axis?f(x)= 0.5x2f(x)= -0.5x2f(x)= -(x-0.5)2f(x)= x2+0.5
- 25. Multiple ChoiceWhat would the equation for the new quadratic function be if it was vertically shifted up 3 units from the function f(x)=4x2+2?g(x)=x2+3g(x)=7x2+2g(x)=4x2+3g(x)=4x2+5
- 26. Multiple ChoiceWhat would the equation for the new quadratic function be if it was horizontally shifted right 1 unit from the function f(x)=x2+4?g(x)=x2+5g(x)=(x+1)2+4g(x)=(x-1)2+4g(x)=x2+3
- 27. Multiple ChoiceMatch the description to its equation.
-Moves left 2ABCD - 28. Multiple ChoiceIn the equation f(x)=5(x+3)2-10 what effect does the 5 do when compared to the parent function?Vertical stretch by a factor of 5Vertical shrink/compress by a factor of 5Reflect over x-axisVertical shift up 5 units
- 29. Multiple Choice
Which of the following describes the transformations done to the quadratic parent function of f(x) = x2 to obtain g(x) = 2x2 + 4 ?
Vertical Stretch by a factor of 2 and vertical shift up 4 units
Vertical Compress by a factor 2 and vertical shift up 4
Vertical Stretch by a factor of 2 and horizontal shift left 4 units
Vertical Compress by a factor of 2 and horizontal shift right 4 units
- 30. Multiple Choice
What is the equation of the quadratic function obtained from vertically compressing the parent function by 3/5 and then shifted up 8 units?
f(x)= 3/5(x-8)2
f(x)=3/5x2+8
f(x)=x2
f(x)=3/5x2-8
- 31. Multiple ChoiceWhat would the equation for the new quadratic function be if it was vertically shifted up 3 units from the function f(x)=4x2+2?g(x)=x2+3g(x)=7x2+2g(x)=4x2+3g(x)=4x2+5
- 32. Multiple Choice
Which describes the transformation of the graph of f(x)=x2+2 to the graph of g(x)=(-3x)2+2
A horizontal compression without reflection
A horizontal stretch without reflection.
A vertical compression without reflection
A vertical stretch and a translation
- 33. 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
- 34. 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 - 35. Multiple ChoiceWhat transformations occur in the following function?right 3, up 2left 3, up 2left 3, down 2right 3, down 2
- 36. Multiple Choice
Given g(x)=5x
Write a function that is reflected over the x-axis and translated 4 units to the left.
f(x)= -5x-4
f(x)= -5x+4
f(x)= 5(x-4)
f(x)= 5-(x-4)
- 37. Multiple ChoiceWhat kind of transformation is represented?up 1 unitleft 1 unitright 1 unitdown 1 unit
- 38. Multiple ChoiceIs the pictured graph growth, decay, or linear or none?Exponential GrowthExponential DecayLinearNone
- 39. Multiple ChoiceWhat type of function is f(x)=2(1/7)x ?Exponential GrowthLinearExponential DecayNone of the Abovee
- 40. Multiple ChoiceWhat is the horizontal asymptote and what transformations have taken place?
y = 2x+2 + 1y = 2
right 2, up 1y = 1
left 2, up 1y = 1
right 2, up 1y = 2
right 1, up 2 - 41. Multiple ChoiceWhat is the horizontal asymptote and what transformations have taken place?
y = 2x+2 + 1y = 2
right 2, up 1y = 1
left 2, up 1y = 1
right 2, up 1y = 2
right 1, up 2 - 42. Multiple ChoiceGiven the function f(x) = (1/3)x-4, describe the translation4 units up4 units down4 units right4 units left
- 43. Multiple Choice
Given the original exponential function defined by y=4x, how would the graph change if the function were:
y=2(4)x-3+1?
Vertically stretched by a factor of 2, right 3, and up 1
Vertically compressed by a factor of 1/2, left 3 and down 1
Vertically compressed by a factor of 1/2, right 3, and down 1
Vertically stretched by a factor of 2, left 3, and up 1
- 44. 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
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