Theoretical and Experimental Probability Answers

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How is the graph of the parent quadratic function transformed to produce the graph of ?

Question illustration
A
The graph is compressed horizontally by a factor of 2, shifted left 3 units, reflected over the x-axis, and translated up 3 units.
B
The graph is reflected over the x-axis, compressed horizontally by a factor of 2, shifted left 6 units, and translated up 3 units.
C
The graph is stretched horizontally by a factor of 2, reflected over the x-axis, shifted left 3 units, and translated up 3 units.
D
The graph is reflected over the x axis, stretched horizontally by a factor of 2, shifted left 6 units, and translated up 3 units.
24

Which is true regarding the sequence below?

Question illustration
A
The sequence is arithmetic because the common difference is .
Option A
B
The sequence is arithmetic because the common difference is .
Option B
C
The sequence is not arithmetic because there is no common difference. The differences are .
Option C
D
The sequence is not arithmetic because there is no common difference. The differences are .
Option D
25

Which graph is an example of a function whose parent function is ?

Question illustration
A
On a coordinate plane, a curve starts at (negative 1, negative 1) and then curves up and to the right into quadrant 1.
Option A
B
On a coordinate plane, a parabola has a vertex at (0, 1).
Option B
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).
Option C
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).
Option D

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