1. Radical Functions
Base graph y = √x
Domain:
Range:
applying transformations
Ex. y = √x - 2 y = √x - 3
p

3. Standard form y = a√b(x - p) + q
vertical shift
vertical
stretch horizontal horizontal
if a<0 stretch shift
reflects if b<0
in x-axis reflects
in y-axis
Ex. Graph y = 3√-(x - 1)
Step 1: Multiply x-values by 3
Step 2: reflect over y-axis
Step 3: horizontal shift 1 unit to right
Domain:
Range:

4. Ex. Graph y - 3 = -√2x
Domain:
Range: