Respuesta :

See the attached figure

Explanation:

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.

Learn more:

Linear inequality: https://brainly.com/question/12984296

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Ver imagen danielmaduroh
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