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.Com
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)   (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

f(x)= (x+2)^2 Looks the same shifted horizontally left 2 units.

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.

f(x)= x^2-2 Looks the same shifted down vertically 2 units.

f(x)= (x-2)^2 Looks the same shifted right horizontally 2 units.

Happy Calculating!!!

RELATED QUESTIONS

please help need the function listed below with it's graph. f(x)= (x+2)^2 f(x)=... (answered by praseenakos@yahoo.com)
Please help me with the following questions. Given the function below, evaluate the... (answered by josgarithmetic)
Graph the function f(x) = x + 2 (answered by jim_thompson5910)
Graph f(x) +... (answered by solver91311)
Hi I need some help with evaluating this function. f(x)=abs(x)/x;... (answered by HyperBrain)
Please help me with this. f(x)=x^2-2, then... (answered by tutorcecilia)
Hello, graph the following f(x)=(x-2)^2-3 f(x)=(2-x)^2+3 f(x)=-(x+2)^2+3... (answered by Fombitz)
Graph f(x) = –x –... (answered by elima)
Graph f(x) = –x –... (answered by burkus)