Let f(x) = . Find a formula for a function g whose graph is obtained from f by the given sequence of transformations.

Question

(1) shift left 3 units
(2) vertical stretch by a factor of 2
(3) reflect across the x-axis

Answer 1

(1) the graph of f(x-h) is shifted right by h.

(2) The graph of s*f(x) is stretched by a factor of s.

(3) reflection across the x-axis changes f(x) to -f(x).

Now apply these rules to your mystery function.