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+8)^2+2 }}} 1) The vertex is ??? 2) The line of symm

Algebra ->  Quadratic Equations and Parabolas -> 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+8)^2+2 }}} 1) The vertex is ??? 2) The line of symm      Log On


   



Question 358712: Find the vertex, the line of symmetry, and the maximum or minimum value of f(x). Graph the function.

+f%28x%29+=+1%2F5%28x%2B8%29%5E2%2B2+
1) The vertex is ???
2) The line of symmetry is x= ??
3) What is the maximum/minimum value of f(x)
4) Is the value f (-8)=2, a minimum or maximum??
Could someone please help me and please show me what the graph looks like

Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


The way you rendered your function, the questions asked don't make any sense. Hence, I'm going to presume that you really meant:



instead of what you actually wrote which was:



Your function is in vertex form, , which has a vertex at , an axis of symmetry at , a minimum or maximum value equal to the function value at the vertex, and the vertex is a maximum when or a minimum when

Hint: Re-write your function thusly:





John

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