SOLUTION: Find the vertex, line of symmetry, min or max and graph. F(x)-1/2(x+6)^2+2

Algebra ->  Graphs -> SOLUTION: Find the vertex, line of symmetry, min or max and graph. F(x)-1/2(x+6)^2+2      Log On


   

Question 624515: Find the vertex, line of symmetry, min or max and graph. F(x)-1/2(x+6)^2+2
Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
Find the vertex, line of symmetry, min or max and graph. F(x)-1/2(x+6)^2+2
**
Given equation is that of a parabola that opens downwards (has a max).
Its form: y=-A(x-h)^2+k, (h,k)=(x,y) coordinates of the vertex.
For given equation:
vertex: (-6,2)
line of symmetry: x=-6
max at 2
see graph below:
+graph%28+300%2C+300%2C+-10%2C+10%2C+-10%2C+10%2C-.5%28x%2B6%29%5E2%2B2%29+