SOLUTION: find the vertex, the line of symmetry and the maximum or minimum value of f(x). Graph the function f(x)=.2(x+6)^2+1 the vertex is= the line of symmetery is= what is the ma

Algebra ->  Quadratic-relations-and-conic-sections -> SOLUTION: find the vertex, the line of symmetry and the maximum or minimum value of f(x). Graph the function f(x)=.2(x+6)^2+1 the vertex is= the line of symmetery is= what is the ma      Log On


   



Question 503166: find the vertex, the line of symmetry and the maximum or minimum value of f(x). Graph the function f(x)=.2(x+6)^2+1
the vertex is=
the line of symmetery is=
what is the man/min of f(x)=
is the value f(-6)=1, a min or max?
then graph that represents.

Answer by lwsshak3(11628) About Me  (Show Source):
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find the vertex, the line of symmetry and the maximum or minimum value of f(x). Graph the function f(x)=1/5(x+6)^2+1
the vertex is=
the line of symmetery is=
what is the man/min of f(x)=
is the value f(-6)=1, a min or max?
then graph that represents.
**
This is an equation of a parabola of the standard form: y=A(x-h)^2+k, with (h,k) being the (x,y) coordinates of the vertex. Because lead coefficient is positive, parabola opens upwards, that is, function has a minimum.
..
For given equation:
Vertex:(-6, 1)
Line of symmetry: x=-6
Minimum: 1
f(-6)=1 is a minimum
see graph below:
+graph%28+300%2C+300%2C+-10%2C5%2C+-10%2C+10%2C+.2%28x%2B6%29%5E2%2B1%29+