In this Student Problem, we were to create our own Quadratic Equation and identify its components. The first step was to complete the square to make graphing the equation easier by setting it in its parent form. But instead of leaving it in parent graph form, we must find the x-intercepts. After the work is done: the vertex, max or min, y-intercept, axis of symmetry, and x-intercepts must be identified. Finally, all five points and the line of symmetry must be sketched.
The trickiest part to identifying all parts of this quadratic is identifying everything correctly. The x-intercepts especially could be found confusing at times. Also, it is easy to forget to identify the parabola as having a "max" (maximum extrema) or a "min" (minimum extrema).
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