9000097003
Level:
B
Consider the parabola \((x + 1)^{2} = 4(y - 3)\).
Find the focus of this parabola.
\([-1;4]\)
\([-1;3]\)
\([3;-1]\)
\([0;3]\)
Conics
9000097004
Level:
B
Parabola is a set of the points that are equidistant from the point
(focus) and the line (directrix). Find the directrix of the parabola
\((x + 2)^{2} = -8(y - 1)\).
\(y = 3\)
\(x = -2\)
\(x = 1\)
\(y = -4\)
9000097005
Level:
B
Consider the parabola \((x - 5)^{2} = -8(y - 3)\).
Find the vertex of this parabola.
\([5;3]\)
\([3;5]\)
\([5;-4]\)
\([-4;3]\)
9000097006
Level:
B
Consider the parabola \((y - 1)^{2} = 12(x - 1)\).
Find the focus of this parabola.
\([4;1]\)
\([1;6]\)
\([3;1]\)
\([1;1]\)
9000097007
Level:
B
Parabola is a set of the points that are equidistant from the point
(focus) and the line (directrix). Find the directrix of the parabola
\((y - 4)^{2} = 8(x - 1)\).
\(x = -1\)
\(x = 4\)
\(y = 4\)
\(y = 2\)
9000097008
Level:
B
Consider the parabola \((y - 2)^{2} = -12(x + 1)\).
Find the vertex of this parabola.
\([-1;2]\)
\([2;-1]\)
\([2;-6]\)
\([-6;-1]\)
9000097009
Level:
B
Consider the parabola \((y - 3)^{2} = -4(x + 2)\).
Find the focus of this parabola
\([-3;3]\)
\([-2;3]\)
\([3;-2]\)
\([3;-4]\)
9000097010
Level:
B
Parabola is a set of the points that are equidistant from the point
(focus) and the line (directrix). Find the directrix of the parabola
\((y + 3)^{2} = -8(x + 4)\).
\(x = -2\)
\(x = -4\)
\(y = -3\)
\(y = -2\)
9000105401
Level:
B
The parabola \(P\colon x^{2} - 6x - 4y + 5 = 0\) has
two \(x\)-intercepts.
Find their distance.
\(4\)
\(6\)
\(8\)
\(10\)
9000105402
Level:
B
The parabola \(P\colon x^{2} - 4x - 10y - 21 = 0\) has
two \(x\)-intercepts.
Find their distance.
\(10\)
\(12\)
\(8\)
\(6\)