10. 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.
10a. f(x) = x^3; shift upward 3 units and shift 2 units to the right.
answer: (x-2)^3 + 3
10b. f(x) = sqrtx; reflect in the y-axis, shrink vertically by a factor of 1/2, and shift upward 2 units.
Answer: y = 1/2 * sqrt(-x) + 2
10c. f(x) = |x|; shift to the left 1 unit, stretch vertically by a factor of 3, and shift upward 5 units.
Answer: y = 3 * abs(x + 1) + 5