Answer the question.Why is it not possible to choose h and k, neither zero, so the parabola has its vertex at the origin?

Question

What will be an ideal response?

Answer 1

The only way a parabola can have its vertex on the x-axis is if  and the only way a parabola can have its vertex on the  is if  So the only way a parabola can have its vertex at the origin is if both h and k are zero.