Asked by neil
Find the standard form of the equation of the hyperbola with the given characteristics.
Foci: (0, ±8); asymptotes: y = ±2x
Please show step-by-step to answer
Foci: (0, ±8); asymptotes: y = ±2x
Please show step-by-step to answer
Answers
Answered by
oobleck
I already did this
Recall that
y^2/b^2 - x^2/a^2 = 1
has
focus at (0,±c)
asymptotes y = ±b/a x
So you now just need
a^2 + b^2 = 8^2
b = 2a
Now finish it off. Post your work if you get stuck.
Recall that
y^2/b^2 - x^2/a^2 = 1
has
focus at (0,±c)
asymptotes y = ±b/a x
So you now just need
a^2 + b^2 = 8^2
b = 2a
Now finish it off. Post your work if you get stuck.
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