Write the equation for the hyperbola in standard form given

Write the equation for the hyperbola in standard form given the graph

Here focii= (0,+-2)

And equation of the dashed lines ,y=+-x

And in hyperbola,equation of dashed lines,y=+-(b/a)x

And we have a=2

And our equation of dashed lines,y=+-x

Therefore b=2

Hence the required equation is

y^2/a^2-x^2/b^2=1

y^2/4-x^2/4=1