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A - 8.1 Activity (Graphing F(x) = Ax²)
Test Description: 8.1 Algebra Activity
Instructions: Answer all questions to get your test result.
1) Compare the graph of the function f(x) = x² to the graph of the function g(x) = 4x²
A
Vertical stretch by a factor of 1/4; both open up; same vertex; same axis of symmetry.
B
Vertical shrink by a factor of 4; both open up; same vertex; same axis of symmetry.
C
Vertical stretch by a factor of 4; both open up; same vertex; same axis of symmetry.
D
Vertical shrink by a factor of 1/4; both open up; same vertex; same axis of symmetry.
2) Compare the graph of the function f(x) = x² to the graph of the function h(x) = 1.5x²
A
Vertical stretch by a factor of 1.5; both open up; same vertex; same axis of symmetry
B
Vertical shrink by a factor of 2/3; both open up; same vertex; same axis of symmetry
C
Vertical stretch by a factor of 2/3; both open up; same vertex; same axis of symmetry
D
Vertical shrink by a factor of 1.5; both open up; same vertex; same axis of symmetry
3) Compare the graph of the function f(x) = x² to the graph of the function j(x) = ⅓x²
A
Vertical stretch by factor of ⅓; both open up; same vertex; same axis of symmetry
B
Vertical stretch by factor of 3; both open up; same vertex; same axis of symmetry
C
Vertical shrink by factor of 3; both open up; same vertex; same axis of symmetry
D
Vertical shrink by factor of ⅓; both open up; same vertex; same axis of symmetry
4) Compare the graph of the function f(x) = x² to the graph of the function g(x) = -3x²
A
Vertical stretch by factor of -3; both open up; same vertex; same axis of symmetry
B
Vertical shrink by factor of -3; both open up; same vertex; same axis of symmetry
C
Vertical stretch by factor of 3; reflection in the x-axis; same vertex; same axis of symmetry
D
Vertical shrink by factor of 3; reflection in the x-axis; same vertex; same axis of symmetry
5) Compare the graph of the function f(x) = x² to the graph of the function k(x) = -⅖x²
A
Vertical shrink by factor of -⅖; both open up; same vertex; same axis of symmetry
B
Vertical shrink by factor of ⅖; reflection in the x-axis; same vertex; same axis of symmetry
C
Vertical stretch by factor of -⅖; both open up; same vertex; same axis of symmetry
D
Vertical stretch by factor of ⅖; reflection in the x-axis; same vertex; same axis of symmetry
6) Compare the graph of the function f(x) = x² to the graph of the function n(x) = -0.5x²
A
Vertical stretch by factor of 0.5; reflection in the x-axis; same vertex; same axis of symmetry
B
Vertical shrink by factor of 0.5; reflection in the x-axis; same vertex; same axis of symmetry
C
Vertical shrink by factor of -0.5; both opening up; same vertex; same axis of symmetry
D
Vertical stretch by factor of -0.5; both opening up; same vertex; same axis of symmetry
7) Compare the graph of the function f(x) = x² to the graph of the function g(x) = 7x²
A
Vertical stretch by factor of 7; both open up; same vertex; same axis of symmetry
B
Vertical shrink by factor of 7; both open up; same vertex; same axis of symmetry
C
Vertical stretch by factor of ⅐; both open up; same vertex; same axis of symmetry
D
Vertical shrink by factor of ⅐; both open up; same vertex; same axis of symmetry
8) Compare the graph of the function f(x) = x² to the graph of the function h(x) = 0.25x²
A
Vertical shrink by factor of 0.25; reflection on the x-axis; same vertex; same axis of symmetry
B
Vertical shrink by factor of 0.25; both open up; same vertex; same axis of symmetry
C
Vertical stretch by factor of 0.25; both open up; same vertex; same axis of symmetry
D
Vertical stretch by factor of 0.25; reflection on the x-axis; same vertex; same axis of symmetry
9) Compare the graph of the function f(x) = x² to the graph of the function j(x) = ⅔x²
A
Vertical shrink by factor of ⅔; both open up; same vertex; same axis of symmetry
B
Vertical stretch by factor of ⅔; both open up; same vertex; same axis of symmetry
C
Vertical shrink by factor of ⅔; reflection on the x-axis; same vertex; same axis of symmetry
D
Vertical stretch by factor of ⅔; reflection on the x-axis; same vertex; same axis of symmetry
10) Compare the graph of the function f(x) = x² to the graph of the function j(x) = -⅝x²
A
Vertical shrink by factor of -⅝; both opening up; same vertex; same axis of symmetry
B
Vertical shrink by factor of ⅝; reflection in the x-axis; same vertex; same axis of symmetry
C
Vertical stretch by factor of ⅝; reflection in the x-axis; same vertex; same axis of symmetry
D
Vertical stretch by factor of -⅝; reflection in the x-axis; same vertex; same axis of symmetry
11) Compare the graph of the function f(x) = x² to the graph of the function k(x) = -¾x²
A
Vertical shrink by factor of ¾; reflection in the x-axis; same vertex; same axis of symmetry
B
Vertical shrink by factor of ¾; both opening up; same vertex; same axis of symmetry
C
Vertical shrink by factor of -¾; reflection in the x-axis; same vertex; same axis of symmetry
D
Vertical stretch by factor of ¾; reflection in the x-axis; same vertex; same axis of symmetry
12) Compare the graph of the function f(x) = x² to the graph of the function k(x) = -0.4x²
A
Vertical shrink by factor of 0.4; reflection in the x-axis; same vertex; same axis of symmetry
B
Vertical shrink by factor of 0.4; both opening up; same vertex; same axis of symmetry
C
Vertical shrink by factor of -0.4; reflection in the x-axis; same vertex; same axis of symmetry
D
Vertical stretch by factor of 0.4; reflection in the x-axis; same vertex; same axis of symmetry
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