Determine the quadratic inequality from the graph

[Maz]

Hello,
I have a question where I am given the graph of a quadratic inequality, and am asked to determine, using the graph, what the inequality is. I am unsure of how to do this. Is anyone able to help? Thanks

 

[HallsofIvy]

I'm not sure I understand the question. Exactly what information are you given about the graph? A quadratic can be written as \(\displaystyle y= ax^2+ bx+ c\). In order to determine a quadratic function, that is, determine the three coefficients, a, b, and c, you will need to know three points on the graph. If you know the coordinates of the vertex you can use that to write the equation as \(\displaystyle y= a(x- b)^2+ c\) where the vertex is (b, c).

 

[stapel]

I am given the graph of a quadratic inequality, and am asked to determine, using the graph, what the inequality is. I am unsure of how to do this.

At which point in the process are you having difficulty? Are you stuck finding the quadratic, given the points (presumably noted) on the graph? Are you having trouble figuring out, from the shading, whether you want "above" ("greater than") or "below" ("less than")? Or is something else the sticking point?

Please be specific. Thank you!