Question

Which of the following nonlinear inequalities is graphed below?

Answer 1

`\frac{( {x + 3)}^(2) }{16} - \frac{( {y + 4)}^(2) }{36} > 1`

Step-by-step explanation

The given non-linear function is a hyperbola with equation:

`\frac{( {x + 3)}^(2) }{16} - \frac{( {y + 4)}^(2) }{36} = 1`

Since the boundary lines are dashed lines, the inequality should be either < or >.

Since the outer portion is shaded, the inequality is

`\frac{( {x + 3)}^(2) }{16} - \frac{( {y + 4)}^(2) }{36} > 1`