Graphing a Quadratic Function Using Its Properties To graph any quadratic function of the form f(x) = ax + bx + c, a 0, use the following steps: %3D Step 1: Determine whether the parabola opens up or down. Step 2: Determine the vertex and axis of symmetry. Step 3: Determine the y-intercept, f(0) = C. Step 4: Determine the discriminant, b2 - 4ac. • If b? by solving f(x) = 0(ax + bx + c = 0). • If b? • If b2 4ac > 0, then the parabola has two x-intercepts, which are found 0, the vertex is the x-intercept. 4ac < 0, there are no x-intercepts. Step 5: Plot the vertex, y-intercept, and any x-intercept(s). Use the axis of 4ac symmetry to find an additional point. Draw the graph of the quadratic function.