This module contains videos and handouts on how to graph the semicircle parent function and its transformations.
y=√(r²-x²)
(P)
How to graph y=squareroot of (r-squared minus x-squared)
This video shows how to graph the semicircle parent function using “the dance” and using a table, connecting the appearance of the graph with the equation and table, and domain and range of the curve.
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y=f(x)+a
y=f(x-a)
y=a*f(x)
y=f(a*x)
y=-f(x)
y=f(-x)
y=f(x)+a
y=f(x)-a 
y=f(x+a)
y=f(x-a)
y=a*f(x) 
y=a*f(x) 
y=f(a*x)
y=f(x/a)
Simple
Moderately complex
Complex