A function f is given, and the indicated transformations are applied to its graph (in the given order). Write the equation for the final transformed graph.

Question

f(x) = x²; stretch vertically by a factor of 5, shift downward 4 units, and shift 3 units to the right

Answer 1

f(x) = x²; stretch vertically by a factor of 5, shift downward 4 units, and shift 3 units to the right

f(x) = 5 -4 (x-3)²

So f(x) = 5(x-3)² -4