Solving a quadratic equation typically involves factoring it as much as possible and determing the x intercepts and tip. One method of solving a quadratic equation is by graphing the equation. To graph, you must create a table of values, or plots, then place them on the graph accurately enough to draw an appropriate curve. Most quadratic equations are written in the form "y = ax^2 + bx +c" but they can also be written with the y at the end of the equation.
Things You'll Need
 Graphing paper
 Pencil

Write the equation in the traditional quadratic form of "ax^2 + bx + c = y." The equation might read "1x^2 + 2x + 0 = y."

Create a table of values by plugging in different x values. Start around 5 or 3 and move to around 3 or 5. Plug the value into the x spot of the equation and solve the equation to determine the y value. For example, plug in 1 for "1x^2 + 2x + 0 = y" to find "(1)(1) + (2)(1) + 0= y" in which "y = 12" or 1. Write the point as (1, 1). Repeat this process for all of the values.

Determine where the tip of the parabola lies by looking at the chart. The parabola lies at the place where y values repeat. For example, if the y value for x = 1 is the same as the y value for x = 1, the tip is between 1 and 1.

Graph the points on a sheet of graph paper. Plot (1, 1) at the 1 x point and the 1 y point. Graph all of the remaining points. The shape should look like a curve.

Attempt to factor the equation to determine the x intercepts. The equation "1x^2 + 2x + 0 = y" factors to "x(x + 2) = y," meaning that at 2 and 0, y = 0. These are the x intercepts.
References
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