SOLUTION: please help need the function listed below with it's graph. f(x)= (x+2)^2 f(x)= -x^2+3 f(x)= x^2-2 f(x)= (x-2)^2

Algebra ->  Quadratic-relations-and-conic-sections -> SOLUTION: please help need the function listed below with it's graph. f(x)= (x+2)^2 f(x)= -x^2+3 f(x)= x^2-2 f(x)= (x-2)^2      Log On


   

Question 62721: please help
need the function listed below with it's graph.
f(x)= (x+2)^2
f(x)= -x^2+3
f(x)= x^2-2
f(x)= (x-2)^2
Answer by funmath(2933) About Me  (Show Source):
You can put this solution on YOUR website!
need the function listed below with it's graph.
The principle function is:
f(x)=x^2
graph%28300%2C200%2C-10%2C10%2C-10%2C10%2Cx%5E2%29
f(x)= (x+2)^2 Looks the same shifted horizontally left 2 units.
graph%28300%2C200%2C-10%2C10%2C-10%2C10%2C%28x%2B2%29%5E2%29
f(x)= -x^2+3 Looks the same reflected about the x axis because of the - in front of the x^2, and shifted vertically up 3 units because of the +3.
graph%28300%2C200%2C-10%2C10%2C-10%2C10%2C-x%5E2%2B3%29
f(x)= x^2-2 Looks the same shifted down vertically 2 units.
graph%28300%2C200%2C-10%2C10%2C-10%2C10%2Cx%5E2-2%29
f(x)= (x-2)^2 Looks the same shifted right horizontally 2 units.
graph%28300%2C200%2C-10%2C10%2C-10%2C10%2C%28x-2%29%5E2%29
Happy Calculating!!!