i am pretty sure the answer is c.
If b is true, why is the quadratic called the Quadratic Parent Function?
So b is wrong.
A quadratic traces a parabola, so a is wrong.
If it was in Quads 3 and 4 then the formula would be y = - x^2. That's not a parent function. It is one that is derived from the parent. d is wrong
therefore the vertex is on the origin and c is the answer