SOLUTION: completely lost and need a slight push in the right direction! f(x)=3(x+1)^2-12 how can this graph of f be obtained from the graph of y=x^2

Algebra ->  Rational-functions -> SOLUTION: completely lost and need a slight push in the right direction! f(x)=3(x+1)^2-12 how can this graph of f be obtained from the graph of y=x^2      Log On


   



Question 588245: completely lost and need a slight push in the right direction!
f(x)=3(x+1)^2-12 how can this graph of f be obtained from the graph of y=x^2

Answer by nerdybill(7384) About Me  (Show Source):
You can put this solution on YOUR website!
f(x)=3(x+1)^2-12 how can this graph of f be obtained from the graph of y=x^2
.
We're talking about "translation" of a graph.
Start with the parabola:
y = x^2
shift it one unit to the left:
y = (x+1)^2
shift it twelve units down:
y = (x+1)^2 - 12
make the graph narrower:
y = 3(x+1)^2 - 12