SOLUTION: Graphing Nonlinear Functions: f(x)=2(x+1)^2 The only mark on the graph I could accurately come up with was 2(0+1)^2=2 for the middle point of the Parabola. When I try to cre

Algebra ->  Functions -> SOLUTION: Graphing Nonlinear Functions: f(x)=2(x+1)^2 The only mark on the graph I could accurately come up with was 2(0+1)^2=2 for the middle point of the Parabola. When I try to cre      Log On


   



Question 803219: Graphing Nonlinear Functions:
f(x)=2(x+1)^2
The only mark on the graph I could accurately come up with was 2(0+1)^2=2 for the middle point of the Parabola. When I try to create symetry but putting in 1,2,-1,-2 I end up all over the place. What am I doing wrong?

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
It looks like +x+=+-1+ would be at the
vertex of the parabola because if I go equally in
the (+) and (-) directions from +x+=+-1+,
I get the same +f%28x%29+
+x+=+-2+
+f%28x%29+=+2+
and
+x+=+0+
+f%28x%29+=+2+
------------
+x+=+-3+
+f%28x%29+=+8+
and
+x+=+1+
+f%28x%29+=+8+
------------
etc.
So, the vertex is at +x+=+-1+, +f%28x%29+=+0+
Here's the plot:
+graph%28+400%2C+400%2C+-5%2C+5%2C+-5%2C+5%2C+2%2A%28+x%2B1+%29%5E2+%29+