Answer
$\frac{x^2}{4}-\frac{y^2}{16}=1$.
Work Step by Step
Based on the given graph, we can find the center $(0,0)$, transverse axis $x$-axis, $a=2,b=4$, Thus we have the equation $\frac{x^2}{4}-\frac{y^2}{16}=1$.
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