Given: The inequality is
[tex]y>-x^2-5[/tex]To find:We need to graph the inequality.
Explanantion:
While graphing an inequality we treat the > sign as = and graph the function.
The only thing to be kept in mind is that if the sign < or > is present the graph will be dotted.
And if the inequality has the sign
[tex]\ge\text{ or }\leq[/tex]then the graph will be solid.
The given inequality has > sign therefore the graph will be dotted line.
Let us replace the > with = and graph the function.
the function becomes y=-x^2-5.
The equation is of a parabola. Or it is a quadratic inequality.
A quadratic function is of the form
[tex]y=ax^2+bx+c[/tex]Comparing our inequality with the standard form we get a=-1, b=0 and c=