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

Mathematics

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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

Mathematics

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

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Rewrite the rational expressions as equivalent expressions with the LCD. and 

A.  and 
B.  and 
C.  and 
D.  and 

Mathematics

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 - )

Mathematics