SOLUTION: Find an equation in standard form for the hyperbola that satisfies the given conditions. Center at​ (0,0) a=4​, e=4​, horizontal focal axis

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Question 1134791: Find an equation in standard form for the hyperbola that satisfies the given conditions.
Center at​ (0,0) a=4​, e=4​, horizontal focal axis

Answer by MathLover1(20850)   (Show Source): You can put this solution on YOUR website!

The standard form of a hyperbola that opens sideways is


if center at​ (,), means and and your equation is



if ,

if , horizontal focal axis



since ...plug in ​, and solve for
.......square both sides






and your equation is


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