Plot at least seven points from the quadratic equation, and then draw a parabolic curve through the points to make the graph. Remember that quadratic equations always show up as parabolas on graphs.
- Plot a minimum of seven points from the quadratic equation
Enter the integers -3 through 3 as the x-values in the equation. Calculate the corresponding y-values, and place both x-values and y-values in a T chart. Draw an x-axis and y-axis on graph paper, and graph the points.
- Draw a provisional curve through the points
Look at the points to see if connecting them forms a "U" shape that faces upward, downward or to one side. If the points resemble a gradually flattening line, plot more points near the flatter part of the line. Once you have enough points, draw a curve through the points to create a parabola. Draw arrows on both ends of the curve to show it continues infinitely in both directions.
- Check your graph
To validate the graph, take two or three points that appear on the curve but not on your T chart. Plug the x-value into the equation, and see if the corresponding y-value emerges. If it does, the graph is correct.