Use the discriminant to determine whether the graph of the equation is an ellipse (or circle), a hyperbola, or a parabola.4x2 + 5xy + 4y2 + 7x - 6y = 0
A. Hyperbola
B. Ellipse or circle
C. Parabola
Answer: B
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Evaluate the expression.54 ÷ (-3)
A. 18
B. - 
C. -28
D. -18
Determine the amplitude and range of the given function.y = -2 sin x
A. amplitude: 2, range: [0, 2] B. amplitude: 2?, range: [-2?, 2?] C. amplitude: 2, range: [-2, 2] D. amplitude: 2?, range: [0, 2?]
Find the center, transverse axis, vertices, foci, and asymptotes of the hyperbola.(x - 1)2 - 4(y - 2)2 = 4
A. center at (1, 2)
transverse axis is parallel to x-axis
vertices at (0, 2) and (2, 2)
foci at (1 - 
, 2) and (1 + 
, 2)
asymptotes of y - 2 = - 2(x - 1) and y - 2 = 2(x - 1)
B. center at (2, 1)
transverse axis is parallel to x-axis
vertices at (0, 1) and (4, 1)
foci at (2 - 
, 1) and (2 + 
, 1)
asymptotes of y - 1 = - 
(x - 2) and y - 1 = 
(x - 2)
C. center at (1, 2)
transverse axis is parallel to x-axis
vertices at (-1, 2) and (3, 2)
foci at (1 - 
, 2) and (1 + 
, 2)
asymptotes of y - 2 = - 
(x - 1) and y - 2 = 
(x - 1)
D. center at (1, 2)
transverse axis is parallel to y-axis
vertices at (1, 0) and (1, 4),
foci at (1, 2 - 
) and (1, 2 + 
),
asymptotes of y + 2 = - 2(x + 1) and y + 2 = 2(x + 1)
Solve the equation.
- 
= 1
A. x = 3, -1 B. x = -3, -1 C. x = 3 D. No solution