SOLUTION: Describe the transformation from a common function that occurs in the function, and then graph it. f(x)=(x+3)^2+1

Algebra ->  Rational-functions -> SOLUTION: Describe the transformation from a common function that occurs in the function, and then graph it. f(x)=(x+3)^2+1      Log On


   



Question 252780: Describe the transformation from a common function that occurs in the function, and then graph it.
f(x)=(x+3)^2+1

Answer by rapaljer(4671) About Me  (Show Source):
You can put this solution on YOUR website!
The common function would be f(x)=x^2. The transformation that occurs to obtain the graph of f(x) = (x+3)^2 +1 is that the graph "moves" 3 units to the left and up one unit.

graph%28300%2C300%2C+-10%2C10%2C-10%2C10%2C+x%5E2+%2C+%28x%2B3%29%5E2%2B1%29

Dr. Robert J. Rapalje, Retired
Seminole State College of Florida