SOLUTION: Find the vertex, the line of symmetry, and the maximum or minimum value of f(x). Graph the function. f(x)=1/5 (x+5)^(2)+6 The vertex is ? ( type an ordered pair) The line o

Algebra ->  Systems-of-equations -> SOLUTION: Find the vertex, the line of symmetry, and the maximum or minimum value of f(x). Graph the function. f(x)=1/5 (x+5)^(2)+6 The vertex is ? ( type an ordered pair) The line o      Log On


   

Question 624238: Find the vertex, the line of symmetry, and the maximum or minimum value of f(x). Graph the function.
f(x)=1/5 (x+5)^(2)+6
The vertex is ?
( type an ordered pair)
The line of symmetry is?
(Type an equation)
What is the maximum?minimum value of f(x)?___
Is the value, f(-5) = 6, a minimum or maximum?

Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 

Hi,

Note; vertex form of a Parabola opening up(a>0) or down(a<0), y=a%28x-h%29%5E2+%2Bk 

where  is the vertex  and +x+=+h+ is the Line of Symmetry

f(x)=1/5 (x+5)^(2)+6  || V(-5,6)  1/5> 0, parabola opens Up, vertex in a min point

The line of symmetry is? x = -5

the minimum value of f(x)  is 6

the value, f(-5) = 6, is a minimum