In this student problem we are learning to change a standard form equation to a parent function form so we can easily find key points to make a graph. The key points include the vertex, which is either the maximum or minimum of a graph, the axis of symmetry, which is also known as the line of symmetry or simply the axis, and the x-intercepts. The y-intercept can also be found by the parent function but it is easier to use the standard form equation to find the y-intercept.
Something you need to remember is that since this is a quadratic equation, your graph must look like a parabola. The vertex can be either maximum, showing the parabola going down, or it can be minimum, showing the parabola going up. The axis can be used to write other points in the graph using the rule of symmetry. Finally, another thing you need to remember is that the x-intercepts can have radicals or they can even be imaginary numbers, which means the x-axis is not touched.
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