Question

Let g(x) be the indicated combined transformation of f(x) = x. Write the rule for g(x).

Horizontal stretch by a factor of 5 followed by a horizontal shift 2 units.

Answer 1

Assuming a shift to the right, that would be

g(x) = (x-2)^2/5

See

http://www.wolframalpha.com/input/?i=plot+y+%3Dx^2%2C+y%3D%28x-2%29^2%2F5+for+-3%3C%3Dx%3C%3D5