SOLUTION: can You graph, find the symmetry,vertex, domain, range zeros, and if its a maximum or minimum in the problem Fx= -x^2 + 4x -2

Algebra ->  Graphs -> SOLUTION: can You graph, find the symmetry,vertex, domain, range zeros, and if its a maximum or minimum in the problem Fx= -x^2 + 4x -2      Log On


   

Question 1082160: can You graph, find the symmetry,vertex, domain, range zeros, and if its a maximum or minimum in the problem Fx= -x^2 + 4x -2
Answer by josgarithmetic(39621) About Me  (Show Source):
You can put this solution on YOUR website!
f%28x%29=-x%5E2%2B4x-2
-%28x%5E2-4x%2B2%29
-%28x%5E2-4x%2B4-4%2B2%29
-%28%28x-2%29%5E2-2%29
highlight_green%28f%28x%29=-%28x-2%29%5E2%2B2%29

Maximum (2,2), the vertex
Domain: All real numbers
Symmetric around x=2
%28x-2%29%5E2=2
x-2=0%2B-+sqrt%282%29
x=2%2B-+sqrt%282%29---------where the zeros are


graph%28300%2C300%2C-5%2C5%2C-5%2C5%2C-x%5E2%2B4x-2%29