Graphing
To graph the parabola , follow the standard graphing steps:
The parabola opens upward because is positive. The axis of symmetry is . The vertex is found by substituting : , making the vertex . The -intercept is found by setting , yielding , and its symmetric point across the axis of symmetry is . To find the -intercepts, set : . Factoring yields , giving -intercepts of and . Plotting the vertex, the intercepts, and the symmetric point, and connecting them produces the graph of the parabola.
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Ch.10 Quadratic Equations - Elementary Algebra @ OpenStax
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