This problem is about identifying the different parts of a quadratic in standard form and graphing them accurately. The parts of the graph of a quadratic include: vertex, x-intercepts, a y-intercept, and an axis of symmetry. In order to graph a quadratic easily, one must first change if from standard form to parent function form.
In order to understand how to accurately graph a quadratic, the viewer needs to pay special attention to the steps of completing the square. It is through that process that the quadratic is rewritten in parent function form. Using the values of h and k in the parent function equation, the viewer can obtain the vertex and the axis of symmetry. Another thing the viewer should pay attention to is how to how to get the y-intercept. This can be done by plugging in O for x in the original function. The last thing that the viewer should be aware of is that you can find the x-intercepts by solving the simplified version of the function that is reached after completing the square.