Question

Which graph shows inequality (y^2/2^2)-(x^2/2^2)>=1?

Answer 1

The correct graph is D.

Explanation:
Write the inequality as follows:
$\frac{ y^{2} }{4} \geq (1+ \frac{ x^{2} }{4} )$

Then test values of x.
x=0: y=4 => y=+/- 2
x=1:  y=5 => y= +/- 2.24

Only graph D behaves in this fashion.