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In the following figure, the circle centered at nhas a radius of 4. What is the area of the shaded region?



(A) 3π

(B) 6π

(C) 9π

(D) 12π

(E) 16π

The Correct Answer
Explanation

Let f(x) = x2+ 10x+ 2. If g(x) is a transformation that moves f(x) both one unit up and one unit to the right, then g(x) =

(A) x2+ 8x– 6(B) x2+ 9x+ 3(C) x2+ 10x– 6(D) x2+ 11x+ 3(E) x2+ 12x+ 6

Correct Answer: A

Rectangle ABCD lies in the standard (x,y) coordinate plane with corners at A(4,2), B(6,-1), C(1,-4), and D(-1,-1), and is represented by the 2 × 4 matrix . ABCD is then translated, with the corners of the translated rectangle represented by the matrix . What is the value of n?

(A) 0 (B) -1 (C) -2 (D) -3 (E) -4

Correct Answer: A

The following figure shows a regular octagon inscribed in a circle. The arc length from Ato Bis 6π. What is the area of the shaded region of the circle?

(F) 8π(G) 16π(H) 24π(J) 36π(K) 64π

Correct Answer: H

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