Transforming graphs
- You can change the equation of a graph to translate or reflect it
- The easiest way to describe these transformations is using function notation
- The tables show transformation of the graph y=f(x)
- y=f(x) + a
- translation (o/a)
- f(x) + a ------ move up x units
- f(x) - a ------ move down x units
- y=f(x+a)
- translation (-a/o)
- f(x+a) -------- move left x units
- f(x-a) ---------move right x units
- y=-f(x)
- reflections in the x-axis
- ‘___’ outside the bracket
- y=f(-x)
- reflection in the y-axis
- ‘____’ inside the bracket
Sin and cos
- The graph of y=sinx is a translation of y=cosx by 90 to the right
- This means that y=sinx is the same as y=cos(x-90)