SOLUTION: 19. 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)=(x-6)^2+2

Algebra ->  Equations -> SOLUTION: 19. 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)=(x-6)^2+2      Log On


   

Question 1157012: 19.

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)=(x-6)^2+2
Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
y=(x-6)^2+2
vertex is h, k so reverse th number in parentheses and use the constant at the end for y.
vertex is (6, 2)
axis of symmetry is the x value or x=2
directrix is found by writing in form (x-h)^2=4p(y-k) so here (x-6)^2=y-2
4p=1'p=1/4
directrix is y=k-p or 2-1/4=7/4
5 points
one is vertex
pick x=0 where y=38
pick x=5 where y=3
because 7 is 1 units away from 6 and 5 is one unit away from 6 they have the same value of y or 3
and if 0 is 6 units away and 12 is 6 units away, they have the same y value of 38
graph%28300%2C300%2C-10%2C10%2C-10%2C40%2C%28x-6%29%5E2%2B2%2C7%2F4%29
graph%28300%2C300%2C-10%2C10%2C-10%2C10%2C%28x-6%29%5E2%2B2%2C7%2F4%29