Write the equation of a sine function that has the given characteristics.Amplitude: 2Period: ?Phase Shift: 

A. y = 2 sin 
B. y = 2 sin (2x - 7)
C. y = 2 sin 
D. y = sin (2x + 7)


Answer: B

Mathematics

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Choose the value which could represent the slope of the line. Assume that the scale on the x-axis is the same as the scale on the y-axis.

A. 7 B. -1 C. 1 D. -7

Mathematics

Fill in each blank with the appropriate response.The graph of y = -5(x + 3)2 - 7 can be obtained from the graph of y = x2 by shifting horizontally  units to the , vertically stretching by a factor of , reflecting across the -axis, and shifting vertically -10.0px;" /> units in the  direction.

A. 3; left; 7; x; 5; downward
B. 3; left; 5; x; 7; downward
C. 3; right; 5; x; 7; downward
D. 3; right; 5; x; 7; upward

Mathematics

Find all solutions of the equation in the complex number system.(x + 1)2 = -6

A. {5, 7}
B. {-1 + , -1 - }
C. {-1 + i, -1 - i}
D. {-1 - }

Mathematics

Shade the solution set in the xy-plane.y ? 4x - x2

A.

B.

C.

D.

Mathematics