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Write equations of parabolas in vertex form using the focus and directrix
Write the equation for a parabola with a focus at \(\(-4,
8
8
8
)\\) and a directrix at \\x=
−
6
-6
−
6
\\. \\x=
\newline
A) \\frac{(y
−
8
-8
−
8
)^
2
2
2
}{
−
4
-4
−
4
} = x +
4
4
4
\\
\newline
B) \\frac{(y
−
8
-8
−
8
)^
2
2
2
}{
−
4
-4
−
4
} = x -
4
4
4
\\
\newline
C) \\frac{(y
−
8
-8
−
8
)^
2
2
2
}{
4
4
4
} = x +
4
4
4
\\
\newline
D) \\frac{(y
−
8
-8
−
8
)^
2
2
2
}{
4
4
4
} = x -
4
4
4
\\
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Determine the equation of the parabola that opens up, has focus
(
0
,
4
)
(0,4)
(
0
,
4
)
, and a focal diameter of
28
28
28
.
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