Question

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?

Answer 1

For the first question: y = x^2

For the second question: y = x^2 - 2x + 1

For the third question: y = x^2 + 2x + 1

For the fourth question: y = x

For the fifth question: y = -x

Hope this helps:) Have a great day!