A student is given a quadratic equation in vertex form. He determines the vertex and axis of symmetry, and then sketches the parabola so that it is symmetrical about the axis of symmetry. Is this sufficient? Explain. A) The vertex and axis of symmetry are not sufficient. Without the x-intercept it is impossible to sketch the graph of a parabola accurately

B) The vertex and axis of symmetry are not sufficient. Without the intercepts and additional sample points falling on the parabola, there are infinitely many parabolas that could be drawn.

C) The vertex and axis of symmetry are sufficient. As long as the parabola is drawn symmetrically about its axis of symmetry, only one parabola can possibly be graphed

D) The vertex and axis of symmetry are sufficient. As long as the parabolas vertex is located, only one parabola can possibly be graphed