Find the vertex, the focus, and the directrix of the parabola.(x + 3)2 = 4(y - 2)
A. V: (-3, 2); F: (-3, 3); D: y = 1
B. V: (2, -3); F: (2, -2); D: y = -4
C. V: (-3, 2); F: (-3, 1); D: x = 3
D. V: (3, -2); F: (3, -1); D: y = -3
Answer: A
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Find the domain and the vertical asymptote of the function.f(x) = log (x - 9)
A. Domain : (-9, ?); vertical asymptote: x = -9 B. Domain (1, ?); vertical asymptote: x = 1 C. Domain (0, ?); vertical asymptote: x = 0 D. Domain (9, ?); vertical asymptote: x = 9
For the pair of functions, find the indicated sum, difference, product, or quotient.f(x) = 5 - 5x, g(x) = -3x2 + 5Find (f + g)(x).
A. -8x2 - 5x + 10 B. -8x + 10 C. -3x2 + 5 D. -3x2 - 5x + 10
Rewrite the rational expressions as equivalent expressions with the LCD. and
A. and
B. and
C. and
D. and
Find: a. The center and radius of the circle. b. The x- and y-intercepts of the graph of the circle.x2 + y2 + 4x - 2y - 2 = 0
A. a. center = (-2, 1); radius =
b. (-2 + , 0), (-2 -
, 0), (0, 1 +
), (0, 1 -
)
B. a. center = (-2, -1); radius =
b. (-2 + 2, 0), (-2 - 2
, 0), (0, 1 +
), (0, 1 -
)
C. a. center = (-2, 1); radius =
b. (-2 + , 0), (0, 1 +
)
D. a. center = (2, -1); radius =
b. (-2 + , 0), (-2 -
, 0), (0, 1 +
), (0, 1 -
)