Let the graph of g be a horizontal shrink by a factor of 4, followed by a translation 2 units up of the graph of f(x)= x^3-6x-1 Write a rule for g

Question

Let the graph of g be a horizontal shrink by a factor of 4, followed by a translation 2 units up of the graph of f(x)= x^3-6x-1 Write a rule for g

Answer 1

f(x) = x³-6x-1

To horizontally shrink f(x), replace x with 4x.

To translate 2 units up, add 2

g(x) = (4x)³ - 6(4x) -1 +2

= 64x³ - 24x + 1