SOLUTION: 18. I need help graphing the following and listing the directions,vertex,axis of symmetry,table with 5 points and the graph for this equation f(x)=2(x+1)^2-3

Algebra ->  Equations -> SOLUTION: 18. I need help graphing the following and listing the directions,vertex,axis of symmetry,table with 5 points and the graph for this equation f(x)=2(x+1)^2-3      Log On


   

Question 1157011: 18.

I need help graphing the following and listing the directions,vertex,axis of symmetry,table with 5 points and the graph for this equation
f(x)=2(x+1)^2-3
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

F%28x%29=2%28x%2B1%29%5E2-3
compare to F%28x%29=+a%28x-h%29%5E2%2Bk
from given formula you see that h=-1 and k=-3, so vertex is at (-1,-3)
the vertical line that goes through the vertex
x=+-1
directrix:
y=+2%28x%2B1%29%5E2-3
%281%2F2%29%28y%2B3%29=+%28x%2B1%29%5E2...since 4p=1%2F2=>p=1%2F8
y=-3-p
y=-3-1%2F8
y=-25%2F8
table:
x|y
-1|-3
1|5
-3|5
0|-1
-2|-1