A function f is given, and the indicated transformations are applied to its graph (in the given order). Write the equation for the final graph.
6. f(x) = x^3 ; shift upward 3 units and shift 2 units to the right.
7. f(x) = sqrtx ; reflect in the y-axis, shrink vertically by a factor of 1/2, and shift upward 2 units.
8. f(x) = |x| ; shift to the left 1 unit, stretch vertically by a factor of 3, and shift upward 5 units.