Find and write down the second-degree equation in question. As an example:
y > 2x^2 + 3x + 4
Convert the inequality sign into an equal sign. Continuing with our example:
y = 2x^2 + 3x + 4
Plot the equation in Step 2. Continuing with the example, draw an x-y graph labeling both the x and y axis. Ensure the graph extends in the positive and negative direction for both the x and y axis. Start at x = 0. At x = 0, y is 4. Plot the point (0, 4) on the graph. At x = 1, y is 9. Plot the point (1, 9) on the graph. At x = 2, y is 18. Plot the point (2, 18). At x = 3, y is 31. Plot the point (3, 31). Next, plot points where x is negative. Starting with x = -1. At x = -1, y is 3. Plot the point (-1, 3). At x = -2, y is 6. Plot the point (-2, 6). At x = -3, y = 13. Plot the point (-3, 13). Next, connect the points. As you can see, the graph is somewhat "U" shaped.
Shade in the area of the graph that represents the value of the inequality. Continuing with the example, since y is greater than the equation, the equation represents the area of the graph where y is greater than the lines on the graphs. For this reason, you will shade inside the U where the values of y are greater than the line.