1. Stretched vertically by 2 and down 3:
g(x) = 2f(x) -3 = 14x + 7
2. Reflected across x=0 and left 3. For the reflection, replace x by -x. For the translation, replace x by (x+3).
g(x) = f(-(x+3)) = 7(-(x+3)) +5 = -7x - 16
3. Down 2, right 3.
g(x) = f(x-3) -2 = 7x - 18
4. Stretched vertically by 3 and up 2:
g(x) = 3f(x) +2 = 21x + 17