9000097005
Level:
B
Consider the parabola \((x - 5)^{2} = -8(y - 3)\).
Find the vertex of this parabola.
\([5;3]\)
\([3;5]\)
\([5;-4]\)
\([-4;3]\)
Conic Sections
9000091208
Level:
A
Consider the circle \(k\colon x^{2} + 2x + y^{2} - 4y + 2 = 0\).
Find the center of the circle.
\(S = [-1;2]\)
\(S = [-1;-2]\)
\(S = [1;-2]\)
\(S = [1;2]\)
9000097008
Level:
B
Consider the parabola \((y - 2)^{2} = -12(x + 1)\).
Find the vertex of this parabola.
\([-1;2]\)
\([2;-1]\)
\([2;-6]\)
\([-6;-1]\)
9000091209
Level:
A
Consider the circle \(k\colon x^{2} - 6x + y^{2} + 4y + 9 = 0\).
Find the center of the circle.
\(S = [3;-2]\)
\(S = [-3;-2]\)
\(S = [3;2]\)
\(S = [-3;2]\)
9000097002
Level:
B
Consider the parabola \((x - 4)^{2} = 8(y + 1)\).
Find the vertex of this parabola.
\([4;-1]\)
\([4;1]\)
\([1;4]\)
\([4;8]\)
9000091210
Level:
A
Consider the circle \(k\colon x^{2} + 8x + y^{2} - 2y + 12 = 0\).
Find the center of the circle.
\(S = [-4;1]\)
\(S = [-4;-1]\)
\(S = [4;1]\)
\(S = [4;-1]\)
9000097003
Level:
B
Consider the parabola \((x + 1)^{2} = 4(y - 3)\).
Find the focus of this parabola.
\([-1;4]\)
\([-1;3]\)
\([3;-1]\)
\([0;3]\)
9000091203
Level:
A
Consider the circle \(x^{2} - 2x + y^{2} - 6y + 8 = 0\).
Find the radius of the circle.
\(\sqrt{2}\)
\(2\)
\(3\)
\(4\)
9000097006
Level:
B
Consider the parabola \((y - 1)^{2} = 12(x - 1)\).
Find the focus of this parabola.
\([4;1]\)
\([1;6]\)
\([3;1]\)
\([1;1]\)
9000097009
Level:
B
Consider the parabola \((y - 3)^{2} = -4(x + 2)\).
Find the focus of this parabola
\([-3;3]\)
\([-2;3]\)
\([3;-2]\)
\([3;-4]\)