Question

the parabola y=x^2 is shifted up by 2 units and to the right by 3 units. what is the equation of the new porabola

Answer 1

Up 2 units = y shifted up by 2:
y = x^2 + 2
to the right 3 units = x shifted right (+) by 3:
y + 3 = x^2 +2
new equation:
y = x^2 - 1