Transformations
Nonrigid transformations
on Y = f(x) looks like
g(x) = cf(x)
Vertical stretch if c > 1
Subtopic
Vertical shrink if 0 < c < 1
Rigid transformations
Vertical and Horizontal shifts
c= posotive real number
Vertical shift c units upward:
h(x) = f(x) + c
Vertical shift c untis downward:
h(x) = f(x) - c
Vertical Shift
Horizontal shift c units to the right:
h(x) = F(x-c)
Horizontal shift c units to the left:
h(x) = F(x+c)
Horizontal shift
Reflections
Reflection in the x-axis:
h(x) = -f(x)
Reflection on x-axis
Reflection in the y-axis:
h(x) = f(-x)