Question

Which system of inequalities is graphed below

Answer 1

The closest to this was letter C

hope that helps, God bless! 

Answer 2

Answer:

Option D

Step-by-step explanation:

Let's explain why the Option D is correct :

• The Parabola equation:  $x \leq y^2 - 8$

This is a parabola equation with vertex at x = -8.

Despite that the "traditional equation" is $y=x^2 + b$  in this case  the parabola equation is plotted in the X axis and has a sign which indicates that X will take values less and equal than $y^2 -8$

The graph of the parabola is attached to the answer.

• The hyperbola equation: ${x^2 /{3^2}} - {y^2 / {5^2}} > 1$

This is a hyperbola equation with center at (0,0) and vertex's : V1=(3;0) and V2=(-3;0)

The two points (0;5) and (0;-5) on the Y axis are not on the hyperbola.

It's similar to the previous case of the parabola, Despite that the "traditional equation"  of the Hyperbola : ${x^2 /{a^2}} - {y^2 / {b^2}} = 1$  in this case  the hyperbola  equation has a $>$ sign which indicates that hyperbola will take values greater than those who correspond to ${x^2 /{3^2}} - {y^2 / {5^2}} = 1$

The graph of the Hyperbola is also attached

Finally we deduce  that the  D system of inequalities is the correct one.

Also the answer is attached.