SOLUTION: Find the vertex, line of symmetry, and maximum or minimum value of f(x)1/5(x+1)^2+1

Algebra ->  Rational-functions -> SOLUTION: Find the vertex, line of symmetry, and maximum or minimum value of f(x)1/5(x+1)^2+1      Log On


   



Question 515145: Find the vertex, line of symmetry, and maximum or minimum value of f(x)1/5(x+1)^2+1
Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
Find the vertex, line of symmetry, and maximum or minimum value of f(x)1/5(x+1)^2+1
**
f(x)=1/5(x+1)^2+1
This is an equation of a parabola which opens upwards of the standard form:
y=A(x-h)^2+k, with (h,k) being the (x,y) coordinates of the vertex.
For given equation: f(x)=1/5(x+1)^2+1
Vertex:(-1, 1)
Line of symmetry: x=-1
Since parabola opens upwards it has a minimum at 1