Quadratic Transformations
2 years ago
resak
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15 QuestionsShow answers
  • Question 1
    45 seconds
    Q.

    What is the vertex form of a quadratic function?

    answer choices

    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

  • Question 2
    45 seconds
    Q.

    What is the axis of symmetry in a function?

    answer choices

    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

  • Question 3
    45 seconds
    Q.

    What is the axis of symmetry in the function f(x) = (x-1)2 +2

    answer choices

    x = 1

    x = -1

    x = 2

    x = -2

  • Question 4
    45 seconds
    Q.

    Identify the vertex of f(x) = -2(x+1)2 + 3

    answer choices

    (h,k)

    (3, 1)

    (-1,-3)

    (-1,3)

  • Question 5
    45 seconds
    Q.

    Identify the minimum and the domain of the function y = -2(x+1)2 + 4

    answer choices

    Max: 4, Domain: All Real Numbers

    Min: -4, Domain: All Real Numbers

    Max: 2, Domain: All real numbers when x is greater than 4

    Min: -2, Domain: All real numbers when x is less than 4

  • Question 6
    30 seconds
    Q.

    Does the function y = (x+2)2 have a maximum or minimum?

    answer choices

    Maximum

    Minimum

    Both

    Neither

  • Question 7
    30 seconds
    Q.

    Does the function y = -1/2(x+1)2 have a maximum or minimum?

    answer choices

    Maximum

    Minimum

    Both

    Neither

  • Question 8
    45 seconds
    Q.

    What does the quadratic function that has a vertex of (3,4) look like?

    answer choices

    y = a(x+3)2 + 4

    y = a(x-3)2 + 4

    y = -a(x+3) - 4

    y = a(x-3)2 - 4

  • Question 9
    60 seconds
    Q.

    What is the range of f(x) = 2(x+3)2 + 1?

    answer choices

    y ≥ 3

    y ≥ 1

    y ≤ 3

    y ≤ 1

  • Question 10
    60 seconds
    Q.

    What is the range of f(x) = -9(x-4)2 + 3

    answer choices

    y ≤ 3

    y ≤ - 9

    y ≥ 3

    y ≥ -4

  • Question 11
    120 seconds
    Q.

    What steps transform the graph y = x2 to y = 2(x+2)2 - 5?

    answer choices

    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

  • Question 12
    120 seconds
    Q.

    What steps transform the graph y = x2 to y = -1/2(x-4)2 + 1?

    answer choices

    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

  • Question 13
    45 seconds
    Q.

    Identify the vertex of f(x) = 5(x+6)2 - 7

    answer choices

    (5,6)

    (0,0)

    (6,-7)

    (-6,-7)

  • Question 14
    45 seconds
    Q.

    What steps transform the graph y = x2 to y = x2 + 8

    answer choices

    shifted up 8 units

    shifted down 8 units

    shifted left 8 units

    shifted right 8 units

  • Question 15
    45 seconds
    Q.

    What steps transform the graph y = x2 to y = (x-4)2

    answer choices

    Shifted down 4 units

    Shifted left 4 units

    Shifted right 4 units

    Shifted up 4 units

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