Transformations of Functions Answers
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38
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The graph of is transformed as shown in the graph below. Which equation represents the transformed function?
A
y = StartAbsoluteValue x minus 3 EndAbsoluteValue + 2
B
y = StartAbsoluteValue x + 3 EndAbsoluteValue minus 2
C
y = StartAbsoluteValue x minus 2 EndAbsoluteValue + 3
D
y = StartAbsoluteValue x + 2 EndAbsoluteValue minus 3
39
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Based on the family the graph below belongs to, which equation could represent the graph?
A
y = 0.6 Superscript x Baseline minus 2
B
y = 0.6 x squared minus 1
C
y = negative 0.6 x cubed minus 1
D
y = log (x) minus 2
40
The velocity of a particle can be modeled by the function . Which graph accurately shows the velocity of the particle at any time, t?
A
On a coordinate plane, the x-axis is labeled time and the y-axis is labeled velocity. A cubic root function approaches x = negative 4 in quadrant 3, has a point of inflection at (negative 2.5, negative 2), and then increases into quadrant 2 and approaches x = negative 1.
B
On a coordinate plane, the x-axis is labeled time and the y-axis is labeled velocity. A cubic root function approaches x = 1 in quadrant 1, has a point of inflection at (2.5, negative 2), and then increases into quadrant 1 and approaches x = 4.
C
On a coordinate plane, the x-axis is labeled time and the y-axis is labeled velocity. A cubic root function approaches x = 1 in quadrant 1, has a point of inflection at (2.5, 2), and then decreases into quadrant 4 and approaches x = 5.
D
On a coordinate plane, the x-axis is labeled time and the y-axis is labeled velocity. A cubic root function starts in quadrant 4 and increases into quadrant 1. It has a point of inflection at (8, 2) and then it continue to increase in quadrant 1.
41
Which graph is an example of a function whose parent function is ?
A
On a coordinate plane, a curve starts at (negative 1, negative 1) and then curves up and to the right into quadrant 1.
B
On a coordinate plane, a parabola has a vertex at (0, 1).
C
On a coordinate plane, 2 curves are shown. Both curves have an asymptote at x = negative 1. One curved decreases from quadrant 2 into quadrant 1 and approaches y = 1. It crosses the y-axis at (0, 2). The other curve approaches y = 1 in quadrant 1 and then curves down and approaches y = negative 1 in quadrant 3. It crosses the x-axis at (negative 2, 0).
D
On a coordinate plane, a curve starts in quadrant 3 and then increases into quadrant 1. It crosses the y-axis at (0, negative 2) and crosses the x-axis at (1.5, 0).
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