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- 1. Multiple Choice
Match the description to its equation.
- moves up 4ABCD - 2. Multiple ChoiceMatch the description to its equation.
- moves down 3ABCD - 3. Multiple ChoiceMatch the description to its equation.
-Moves left 2ABCD - 4. Multiple ChoiceMatch the description to its equation.
Stretches by a factor of 3ABCD - 5. Multiple ChoiceMatch the description to its equation.
Moves up 2
Moves left 4ABCD - 6. Multiple ChoiceWhich quadratic function is represented by the graph?y = 2(x - 4)2 + 5y = 2(x + 4)2 + 5y = -2(x - 4)2 + 5y = -2(x + 4)2 + 5
- 7. Multiple ChoiceIf the blue graph is
f(x) = x2
then the red must be...g(x) = x2 - 5g(x) = x2 + 5g(x) = (x - 5)2g(x) = (x + 5)2 - 8. Multiple ChoiceWhat transformations have occurred?Right 2 and up 2Left 2 and up 2Right 2 and down 2Left 2 and down 2
- 9. Multiple Choice
How did we transform from f(x) =x2
to
g(x) = -3x2
reflection in x-axis and shift down
reflection x-axis and stretch
reflection x-axis and compression
- 10. Multiple ChoiceMatch the description to its equation.
Moves right 7ABCD - 11. Multiple Choice
How did we transform from the parent function?
g(x) = -1/5(x - 1)2 + 7
reflection, compression, horizontal right, vertical up
compression, horizontal shift left, vertical shift up
reflection, horizontal shift right, vertical shift down
no changes were made to y = x2
- 12. Multiple ChoiceMatch the description to its equation:
moves down 3ABCD - 13. Multiple Choice
In the equation f(x)=5(x+3)2-10 what does the 5 do?
stretch by 5
compress by 5
Reflect
Move up 5
- 14. Multiple ChoiceWhat is the vertical shift of this equation?
f(x) = -(x + 3)2 - 5left 5right 5up 5down 5 - 15. Multiple ChoiceDoes the graph of this equation widen or narrow from the parent function?
g(x) = 3/4 (x - 5)2 + 12widenneithernarrow - 16. Multiple ChoiceWhat is the horizontal shift of this equation?
f(x) = 3/4 (x - 5)2 + 12up 5down 5left 5right 5 - 17. Multiple ChoiceWhat is the vertical shift of this equation?
g(x) = 3/4 (x - 5)2 + 12up 12down 12left 12right 12 - 18. Multiple ChoiceDoes the graph of this equation open up or down?
f(x) = -(x + 3)2 - 5updown - 19. Multiple ChoiceWhich transformation transforms the graph of
f(x) = x2 to the graph of
g(x) = (x + 4)2?a vertical translation 4 units upa vertical translation 4 units downa horizontal translation 4 units to the lefta horizontal translation 4 units to the right - 20. Multiple Choice
What is the vertex form of a quadratic function?
f(x) = 2a(x-h)2 + k
f(x) = a(x-h)2 + k
f(x) = (x+h)2 + k
f(x) = a(x-h) - k
- 21. Multiple Choice
What is the axis of symmetry in a function?
The transformation of the graph
The vertex, represented by (h,k)
A vertical line that passes through the vertex and divides the parabola in half
y = h
- 22. Multiple Choice
What is the axis of symmetry in the function f(x) = (x-1)2 +2
x = 1
x = -1
x = 2
x = -2
- 23. Multiple Choice
Identify the vertex of f(x) = -2(x+1)2 + 3
(h,k)
(3, 1)
(-1,-3)
(-1,3)
- 24. Multiple Choice
Does the function y = (x+2)2 have a maximum or minimum?
Maximum
Minimum
Both
Neither
- 25. Multiple Choice
Does the function y = -1/2(x+1)2 have a maximum or minimum?
Maximum
Minimum
Both
Neither
- 26. Multiple Choice
What does the quadratic function that has a vertex of (3,4) look like?
y = a(x+3)2 + 4
y = a(x-3)2 + 4
y = -a(x+3) - 4
y = a(x-3)2 - 4
- 27. Multiple Choice
What is the range of f(x) = 2(x+3)2 + 1?
y ≥ 3
y ≥ 1
y ≤ 3
y ≤ 1
- 28. Multiple Choice
What is the range of f(x) = -9(x-4)2 + 3
y ≤ 3
y ≤ - 9
y ≥ 3
y ≥ -4
- 29. Multiple Choice
What steps transform the graph y = x2 to y = 2(x+2)2 - 5?
Compress by 2, shifted 2 units left and 5 down
Stretch by 5, shifted 5 units left and 2 down
Stretch by 2, shifted 2 units left and 5 down
Compress by 5, shifted 2 units left and 2 down
- 30. Multiple Choice
What steps transform the graph y = x2 to y = -1/2(x-4)2 + 1?
Compressed by 1/2, shifted 4 units right and 1 unit up
Reflected across x-axis, compressed by 1/2, shifted 4 units right and 1 unit up
Reflected across x-axis, stretched by 1/2, shifted 4 units left and 1 unit up
Stretched by 1/2, shifted 4 units right and 1 unit down
- 31. Multiple Choice
Identify the vertex of f(x) = 5(x+6)2 - 7
(5,6)
(0,0)
(6,-7)
(-6,-7)
- 32. Multiple Choice
What steps transform the graph y = x2 to y = x2 + 8
shifted up 8 units
shifted down 8 units
shifted left 8 units
shifted right 8 units
- 33. Multiple Choice
What steps transform the graph y = x2 to y = (x-4)2
Shifted down 4 units
Shifted left 4 units
Shifted right 4 units
Shifted up 4 units
- 34. Multiple Choice
Which function's graph has a vertex (3,5) and contains the point (5,13)?
y = 1/10(x + 3)2 - 5
y = 1/10(x - 3)2 - 5
y = 2(x - 3)2 + 5
y = 2(x + 3)2 + 5
- 35. Multiple Choice
Which of the following shows a compression of the parent function?
y = 2x2
y = 3/5x2
y = -4x2
y = -x2
- 36. Multiple Choice
Which of the following shows a stretch of the parent function?
y = -5x2
y = -x2
y = 2/5x2
y = -3/4x2
- 37. Multiple ChoiceThe graph of m(x) = x2 was transformed to create the graph of n(x) = x2 + 21. Which of these describes the transformation?A vertical shift down 21 units.A vertical shift up 21 units.A horizontal shift to the right 21 units.A horizontal shift to the left 21 units.
- 38. Multiple ChoiceThe graph of g(x) = x2 is transformed to create the graph of g(x) = -g(x). Describe the transformation.Vertical shift up.Horizontal shift to the right.Reflection in the x-axis.Horizontal shift to the left.
- 39. Multiple ChoiceThe graph of g(x) = x2 is transformed to create the graph of h(x) = 0.5g(x). Describe the transformation.Vertical stretch by a factor of 0.5.Vertical shrink/compression by a factor of 0.5Horizontal stretch by a factor of 0.5.Horizontal shrink/compression by a factor of 0.5.
- 40. Multiple ChoiceMatch the equation to its description.Stretched by 2 and up 4Compressed by 2 and up 4Stretched by 2 and left 4Compressed by 2 and left 4
- 41. Multiple ChoiceMatch the equation to its description.Stretched by 4 and up 4Compressed by 4 and up 4Stretched by 4 and left 4Compressed by 4 and left 4
- 42. Multiple ChoiceWhich transformation will occur if f(x) = x2 is replaced with f(x) + 2?Nothing happens, it stays the same.Vertical stretch by a factor of 2.Vertical translation up by 2 units.Reflection across the x-axis.
- 43. Multiple ChoiceWhich transformation will occur if f(x) = x2 is replaced with -f(x)?Nothing happens, it stays the same.Vertical stretch by a factor of 2.Vertical translation up by 2 units.Reflection across the x-axis.
- 44. Multiple ChoiceWhich transformation will occur if f(x) = x2 is replaced with 2⋅f(x)?Nothing happens, it stays the same.Vertical stretch by a factor of 2.Vertical translation up by 2 units.Reflection across the x-axis.
- 45. Multiple ChoiceHow did we transform from f(x) =x2
to
g(x) = -3x2reflection in x-axis and vertical shift downreflection x-axis and vertical stretchhorizontal stretchreflection x-axis and vertical compression - 46. Multiple ChoiceThe axis of symmetry line passes through which point?y-interceptany random pointvertexsymmetrical point for the vertex
- 47. Multiple ChoiceWhich is the parent function of a parabola?y = x2y = 2x2 + 3y = -x2 -4y = -x2
- 48. Multiple ChoiceWhich describes the transformation of the graph of f(x) = x2 to the graph of g(x) = -4x2Reflected, narrowerreflected, widershifted down 4 unitsshifted up 4 units
- 49. Multiple ChoiceWhat is the vertex of the quadratic function
f(x) = 4x2 + 16x + 7?(-2, -9)(-0.5, 0)(0, 7)(-0.5, -3.5) - 50. Multiple ChoiceWhat are the roots of the function shown?(-3, 0) and (1, 0)(0, -3) and (1, -4)x = 1(2, 5) and (-4, 5)
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