On seperate diagrams, sketch the graphs of:
b) y=(x+3)^2+k, where k is a positive constant.
shifts the graph of f(x) h units in the x direction.
shifts the graph of f(x) k units in the y direction.
So we need to rewrite a) as follows
Note we will be shifting the graph of
so since we -3 = h we shift the graph of f(x) three units to the left.
we will shift f(x) up k units..