Question

What is the center of the conic whose equation is

x^2 + 2y^2 - 6x + 8y = 0

2.Which one of the following equations represents a hyperbola? (5 points)
A) 3x^2 + y^2 + 12x - 7 = 0
B) 3x^2 + 3y^2 + 12x - 7 = 0
C) 3x^2 + y + 12x - 7 = 0
D) 3x^2 - 3y^2 + 12x - 7 = 0
E) x^2 + y^2 + 8x - 6y = 0

3.What is the equation of the axis of symmetry of the parabola whose equation is 2(y - 2) = (x + 3)2?

4.Determine the vertex of the conic with equation

y2 -2x + 6y + 8 = 0


5.Find the equation of the parabola with focus (8, 10), and vertex (8, 6)

7.Find the equation of the ellipse with vertices (0, -1) and (12, -1) and minor axis of length 6

8.Find the equations, in slope-intercept form, of the asymptotes to the conic whose equation is

16y2 - 4x2 - 128y + 64x - 64 = 0

9.Determine the shape of the graph of the equation
8x^2-4y^2=4

10.Which of the following are true about the parabola with equation x^2=12y? Choose all that apply. (5 points)
A) The focus is (0,3).
B) The directrix is y=-3.
C) The focus is (0,-3).
D) The vertex is (0,0)."

Answer 1

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