Find an equation in standard form for the hyperbola that satisfies the given conditions.
Center at (0,0) a=4, e=2, horizontal focal axis
2 answers
h ttps://socratic.org/questions/how-do-you-find-the-standard-form-of-the-hyperbola-that-satisfies-the-given-cond
clearly the equation is
x^2/a^2 - y^2/b^2 = 1
a=4
e = c/a = 2 so c=8
c^2 = a^2 + b^2
so now you can find b.
x^2/a^2 - y^2/b^2 = 1
a=4
e = c/a = 2 so c=8
c^2 = a^2 + b^2
so now you can find b.
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