Derive the Equation of a Parabola
Geometry · Flashcards
GEOMETRY · FLASHCARDS
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QUESTION
What is the axis of symmetry for
(
x
−
h
)
2
=
4
p
(
y
−
k
)
(x-h)^2=4p(y-k)
(
x
−
h
)
2
=
4
p
(
y
−
k
)
?
QUESTION
Derive the equation from focus
(
2
,
0
)
(2,0)
(
2
,
0
)
and directrix
x
=
−
2
x=-2
x
=
−
2
using
P
F
=
dist
(
P
,
d
)
PF=\text{dist}(P,d)
P
F
=
dist
(
P
,
d
)
.
QUESTION
Identify the vertex for the parabola
y
2
=
−
24
x
y^2=-24x
y
2
=
−
24
x
.
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ANSWER
(
0
,
0
)
(0,0)
(
0
,
0
)
. Standard form
y
2
=
−
24
x
y^2=-24x
y
2
=
−
24
x
has vertex at origin.
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