Determine the phase shift of the function.y = 2 sin 

A. 2? units down
B. 2? units up
C.  units to the right
D.  units to the left


Answer: C

Mathematics

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Solve the system of equations by Gaussian elimination. If there is an unlimited number of solutions, find two of them. 2x + y = -1 4x + 2y = -2

A. Inconsistent B. x = -5, y =-2 C. x = 2, y = -5 D. x = -5, y = 2

Mathematics

Provide an appropriate response.The ages of the 12 participants on a backpacking trip are given below.   20 30 40 25 35 22   50 42 32 45 55 52Construct a boxplot for the data.

A.

B.

C.

D.

Mathematics

Provide an appropriate response.If f(x) = x2 + 3x and g(x) = x + 2, find (f ? g)(x) and (g ? f)(x).

A. x2 + 7x + 13; 3x + 2 B. x2 + 7x + 13; x2 + 3x + 2 C. x2 + 7x + 2; x2 + 3x + 2 D. x2 + 13; x2 + 3x + 2

Mathematics

First rewrite the quadratic function in standard form by completing the square, then find any x-intercepts and any y-intercepts.f(x) = 6x2 + 12x + 4Give your answers in exact form.

A. x-intercepts:  and ; y-intercept: 4
B. x-intercepts:  and ; y-intercept: 0
C. x-intercepts:  and ; y-intercept: 4
D. x-intercepts:  and ; y-intercept: 0

Mathematics