Solve the problem.Find the foci and asymptotes of the following hyperbola:x2 -
= 1
A. Foci: (, 0), (-
, 0); Asymptotes: y =
x, y = -
x
B. Foci: (4, 0), (-4, 0); Asymptotes: y = x, y = -
x
C. Foci: (0, ), (0, -
); Asymptotes: y = 4x, y = -4x
D. Foci: (, 0), (-
, 0); Asymptotes: y = 4x, y = -4x
Answer: D
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Solve the problem.The accompanying figure shows the graph of y = -x2 shifted to a new position. Write the equation for the new graph.
A. y = -(x + 3)2 B. y = -x2 - 3 C. y = -(x - 3)2 D. y = -x2 + 3
Find the indicated angle or side. Give an exact answer.Find the exact length of side a.
A. 2
B. 4
C. 4
D. 2
Find the requested value.f(x) = x + 2, g(x) = 4x2 + 18x + 6Find (fg)(-4).
A. 4 B. -420 C. 100 D. 12
Completely factor the polynomial or state that the polynomial is prime.343x3 + 512
A. (343x - 8)(x2 + 56x + 64) B. (7x + 8)(49x2 + 56x + 64) C. (7x - 8)(49x2 + 56x + 64) D. (7x + 8)(49x2 - 56x + 64)