Analyze the graph and write the equation of the function it represents in standard form f(x) = a(x - h)2 + k.
A. f(x) = 2(x - 2)2 - 2
B. f(x) = -2(x + 2)2 - 2
C. f(x) = 2(x + 2)2 + 2
D. f(x) = 2(x + 2)2 - 2
Answer: D
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Solve the problem.Find the volume of the solid generated by revolving the region bounded by the curve 
the 
and the vertical line 
about the x-axis.
A. 2?(e2 - 1) B. ? e C. ?(e - 1) D. ?(e2 - 1)
Rewrite the complex number in standard polar form, plot the number in the complex plane, and determine the quadrant in which the point lies or the axis on which the point lies.z = 2(cos 150° + i sin 150°)
A. z = 2(cos 210° + i sin 210°); Quadrant III
B. z = (cos 150° + i sin 150°); Quadrant I
C. z = 2(cos 60° + i sin 60°); Quadrant I
D. z = 2(cos 150° + i sin 150°); Quadrant II
Factor completely. If the polynomial is prime, then state this as your answer.x2 - x - 72
A. (x + 1)(x - 72) B. prime C. (x + 8)(x - 9) D. (x + 9)(x - 8)
Solve the problem.A rectangular piece of cardboard measuring 17 inches by 30 inches is to be made into a box with an open top by cutting equal size squares from each corner and folding up the sides. Let x represent the length of a side of each such square. For what value of x will the volume be a maximum? If necessary, round to 2 decimal places.
A. 14.7 in. B. 24.35 in. C. 12.18 in. D. 3.49 in.