9000168705
Level:
A
Given the ellipse \(16x^{2} + 9y^{2} + 32x - 36y - 92 = 0\),
find the vertex on the major axis.
\([-1,-2]\)
\([-1,-1]\)
\([3,2]\)
\([2,2]\)
Conic Sections
9000168706
Level:
B
Which of the given points is one of the vertices of the hyperbola \(16x^{2} - 9y^{2} + 64x + 18y - 89 = 0\)?
\([-5,1]\)
\([-6,1]\)
\([-2,4]\)
\([-2,5]\)
9000168707
Level:
B
Find the vertex of the hyperbola \(9x^{2} - 4y^{2} - 54x - 16y + 29 = 0\).
\([5,-2]\)
\([6,-2]\)
\([3,-4]\)
\([3,-5]\)
9000168708
Level:
B
Find the vertex of the hyperbola \(4x^{2} - 9y^{2} + 24x + 18y + 63 = 0\).
\([-3,3]\)
\([-3,4]\)
\([-6,1]\)
\([-5,1]\)
9000168709
Level:
B
Find the vertex of the hyperbola \(9x^{2} - 16y^{2} - 36x - 96y + 36 = 0\).
\([2,-6]\)
\([2,-7]\)
\([5,-3]\)
\([6,-3]\)
9000168710
Level:
B
Find the vertex of the hyperbola \(9x^{2} - 25y^{2} + 18x + 100y - 316 = 0\).
\([4,2]\)
\([2,2]\)
\([-1,-3]\)
\([-1,-1]\)
9000149707
Level:
B
Find the center of the following hyperbola.
\[
5x^{2} - 6y^{2} - 30x + 12y + 9 = 0
\]
\([3,1]\)
\([3,-1]\)
\([-3,1]\)
\([-3,-1]\)
9000149708
Level:
B
Find the vertex of the following parabola.
\[
x^{2} + 8x - 4y + 24 = 0
\]
\([-4,2]\)
\([-4,-2]\)
\([4,2]\)
\([4,-2]\)
9000149709
Level:
B
Find the vertex of the following parabola.
\[
y^{2} - 12x + 4y + 64 = 0
\]
\([5,-2]\)
\([5,2]\)
\([-5,2]\)
\([-5,-2]\)
9000149710
Level:
B
Find the vertex of the following parabola.
\[
x^{2} - 6x - 12y - 3 = 0
\]
\([3,-1]\)
\([3,1]\)
\([-3,1]\)
\([-3,-1]\)