SOLUTION: I need help on this one please f(x)= 1/4(x+9)^2+1 I need to find out what the vertex is____ I need to find out what the line of symmentry is _____ I need to find out what i

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> SOLUTION: I need help on this one please f(x)= 1/4(x+9)^2+1 I need to find out what the vertex is____ I need to find out what the line of symmentry is _____ I need to find out what i      Log On


   

Question 564945: I need help on this one please
f(x)= 1/4(x+9)^2+1
I need to find out what the vertex is____
I need to find out what the line of symmentry is _____
I need to find out what is the max/min value of fx is _________
Found 2 solutions by Alan3354, htmentor:
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
f(x)= 1/4(x+9)^2+1
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It's in standard form, so the LOS is x = -9
The vertex is (-9,1), taken from the standard form.
The minimum is the vertex.

I need to find out what the vertex is____
I need to find out what the line of symmentry is _____
I need to find out what is the max/min value of fx is _________

Answer by htmentor(1343) About Me  (Show Source):
You can put this solution on YOUR website!
I need help on this one please
f(x)= 1/4(x+9)^2+1
I need to find out what the vertex is____
I need to find out what the line of symmentry is _____
I need to find out what is the max/min value of fx is _________
==========================================
f(x)= 1/4(x+9)^2+1
Since this parabola opens upward, the vertex will be a minimum value
The function has a minimum at x = -9
f(-9) = 1
So the vertex is (-9,1)
The line of symmetry runs parallel to the y-axis and goes through the vertex (-9,1).
Therefore the line of symmetry is x = -9
The graph is below:
graph%28300%2C300%2C-20%2C10%2C-10%2C10%2C%28x%2B9%29%5E2%2F4%2B1%29
The minimum value is the vertex (-9,1)
The maximum value is infinity