See the attached figure
We have the following inequality:
[tex]y>x^2+2x-1[/tex]
Fist of all, we can write the equation for this as:
[tex]y=x^2+2x-1[/tex]
And this is a parabola. Given that the inequality doesn't include the symbol =, then the graph of the parabola is dotted.
To know the region we need to shade, let's test a point, namely, (0, 0):
[tex]y>x^2+2x-1 \\ \\ x=0,\ y=0: \\ \\ 0>0^2+2(0)-1 \\ \\ 0>-1 \ True![/tex]
Since this point satisfies the inequality, then the region includes the origin. Finally, the graph is shown below.
Linear inequality: https://brainly.com/question/12984296
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