Transformation of function

f(x)+c

f(x)+c

vertical shift up by c units

f(x)-c

vertical shift down by c units

f(x+c)

Shift left by c units

f(x-c)

shift right by c units

c(fx)

vertical strech

f(cx)

horizobtak strech

-f(x)

reflection on the x axis

f(-x)

reflection on the y axis