Question

Which quadratic inequality does the graph below represent?

Answer 1

If you look at the graph, the line crosses the y axis at (0,3).

That means you can eliminate the inequality that shows the y intercept as -3 (which is the 3rd option)

Also the inequality has to have y ≤ ....     so that the correct part of the graph is shaded. This elimates all of the inequalities that has y ≥ ... ( which is the 2nd and 4th option)

This leaves you with only the first inequality left:

y ≤ 2x² - 8x + 3

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Answer

y ≤ 2x² - 8x + 3