Conic Sections: Parabolas Quiz
Parabolas
State whether the parabola will open up/down OR
right/left.
(y-k)2 = 4p(x-h)
Regardless of the direction the parabola opens the vertex is always in the form (      ,       ).
(x-h)2 = 4p(y-k)
right/left
?
up/down
?
focus:
Vertex:
directrix:
Opens:
p = 
(
x2 = 8y
(
,
,
=
)
)
focus:
Vertex:
directrix:
Opens:
p = 
(
(y - 1)2 = 12(x - 5)
(
,
,
=
)
)
focus:
Vertex:
directrix:
Opens:
(x - 3)2 = -8(y + 5)
p = 
(
(
,
,
=
)
)
Find the vertex, focus and directrix of the parabola.
Directrix:
x2 + 4x - 10y - 6 = 0
Vertex:
Focus: 
(
(
=
,
,
)
)
Write the equation for the parabola in standard form.
(
)2
=
(
)
(
Find the standard form of the parabola:
Vertex: (5, 2) Focus: (9, 2)
)2
=
(
)
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