What is an equation of a parabola with its vertex at (0,0), but facing down?
What is an equation of a parabola with its vertex at (1,1)?
What is an equation of a parabola with its vertex at (-1,-1)?
What is the equation of a parabola with its vertex at (2,2) that passes through the origin?
What is the equation of a parabola with its vertex at (-2,2) that passes through the origin?