Given f(x) = x², after performing the following transformations: shift upward 90 units and shift 77 units to the right, the new function g(x)=

Question

Shift upwards 90 units and shift 77 units to the right. The new function is g(x)=?

Answer 1

shift upwards by 90 changes it to x^2 + 90

shift right 77 changes it to g(x) = (x-77)^2 +90

it's an upward opening parabola that first had vertex of the origin, and now has vertex (77,90)