Express the function in the form f(x) = a(x - h)2 + k and indicate the vertex.f(x) = -6x2 - 12x + 1
A. f(x) = -6(x - 1)2 - 17
vertex: (1, -17)
B. f(x) = -6(x - 2)2 - 47
vertex: (2, -47)
C. f(x) = -6(x + 1)2 + 7
vertex: (-1, 7)
D. f(x) = -6(x + 2)2 - 11
vertex: (-2, -11)
Answer: C
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Find the extreme values of the function subject to the given constraint.
A. Maximum: 8 at
minimum: 0 at
B. Maximum: 8 at minimum: 0 at
C. Maximum: 8 at minimum: -8 at
D. Maximum: 8 at
minimum: -8 at
Solve the problem.A projectile is fired with an initial velocity of 550 feet per second at an angle of 70° with the horizontal. In how many seconds will the projectile reach its maximum altitude? (Round your answer to the nearest tenth of a second.) The parametric equations for the path of the projectile are x = (550 cos 70°)t, and y = (550 sin 70°)t - 16t2.
A. 12.8 seconds B. 16.2 seconds C. 24.3 seconds D. 21 seconds
Factor completely.36x2 + 84x + 49
A. (6x - 7)2 B. (6x + 7)2 C. (6x + 7)(6x - 7) D. Prime
Solve.Last year, Susan's average telephone bill was $99.73. In October, her telephone bill was $139.37. How much more than last year's average was the October bill?
A. $39.74 B. $40.64 C. $29.64 D. $39.64