Write the equation of a sine function that has the given characteristics.The graph of y = 
, shifted 3 units downward
A. y = 
B. y = 
+ 3
C. y = 
D. y = 
- 3
Answer: D
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Solve the problem.An arch for a bridge over a highway is in the form of a semi-ellipse. The top of the arch is 35 feet above ground. What should the span of the bridge be, rounded to the nearest hundredth of a foot, if the height 30 feet from the center is to be 16 feet above ground?
A. 131.25 ft B. 33.73 ft C. 67.46 ft D. 62.13 ft
Decide whether the figure is convex or concave.
A. Concave B. Convex
Express the function in the form f(x) = a(x - h)2 + k and indicate the vertex.f(x) = 2x2 + 4x + 3
A. f(x) = 2(x - 2)2 + 19 vertex: (2, 19) B. f(x) = 2(x + 2)2 + 7 vertex: (-2, 7) C. f(x) = 2(x + 1)2 + 1 vertex: (-1, 1) D. f(x) = 2(x - 1)2 + 9 vertex: (1, 9)
If the demand function forqunits of a commodity atp$per unit is given by 
, find the rate of change of quantity with respect to price when
. Round your answer to three decimal places.
A. 0.017 B. -0.017 C. 0.009 D. -0.011 E. 0.005