This problem deals with how to identify x-intercepts, y-intercepts, the vertex (whether it’s the max or the min), and the axis. This problem also shows how to use all this information to graph a quadratic derived from standard form, which is then put into parent-function form. This problem has several parts to it that all go together to find the necessary information in order to plot the graph. A graphing calculator might be needed for a problem similar to this.
For a problem like this, it is important to remember all the steps that go into the end result. Completing the square is crucial for transforming the equation into parent-function form. It is necessary to know that if the result ends up being imaginary (x-intercepts), then there is nothing to graph, seeing as imaginary answers don’t exist.
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