Question

Graph the inequality.y>-x²-5

Answer 1

Given: The inequality is

`y>-x^2-5`

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

`\ge\text{ or }\leq`

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

`y=ax^2+bx+c`

Comparing our inequality with the standard form we get a=-1, b=0 and c=