Question

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

Answer 1

h ttps://socratic.org/questions/how-do-you-find-the-standard-form-of-the-hyperbola-that-satisfies-the-given-cond

Answer 2

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.