Asked by Eric
Foci (0,-3)(0,3)
Vertices (0,-4)(0,4)
Find the standard form
Vertices (0,-4)(0,4)
Find the standard form
Answers
Answered by
Henry
Foci: (0,-3) (0,3).
Vertices: (0,-4) (0,4).
The X-coordinate of the Foci and Vertices are constant at zero while the
Y-coordinates varies. Therefore, we have a y-Elipwse. So a^2 will be located under Y^2:
X^2/b^2 + Y^2/a^2 = 1.
a^2 = 4^2 = 16.
F^2 = a^2 - b^2 = 3^2,
16 - b^2 = 9,
b^2 = 7.
b = sqrt7.
Eq: X^2/7 + y^2/16 = 1.
Vertices: (0,-4) (0,4).
The X-coordinate of the Foci and Vertices are constant at zero while the
Y-coordinates varies. Therefore, we have a y-Elipwse. So a^2 will be located under Y^2:
X^2/b^2 + Y^2/a^2 = 1.
a^2 = 4^2 = 16.
F^2 = a^2 - b^2 = 3^2,
16 - b^2 = 9,
b^2 = 7.
b = sqrt7.
Eq: X^2/7 + y^2/16 = 1.
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