SOLUTION: Please help solve. I was able to put g(x) = 5x^2 − 30x + 55 into standard form like so g(x) = 5(x − 3)^2 + 10 I understand that the vertex is (3,10) however what does t

Question 905108: Please help solve. I was able to put g(x) = 5x^2 − 30x + 55 into standard form like so g(x) = 5(x − 3)^2 + 10 I understand that the vertex is (3,10) however what does the g mean in this? I know it's a variable but I have a problem asking me if it's greater than or less than zero. I don't know how to find this. Also asking for it's max and min value which I think is the vertex and if it's upward then it's only a min because it's showing it's lowest point and the rest exceeds infinitely. Does that all sound correct?
Here is the problem I am confused about:
http://i.imgur.com/EVIiBCc.png
Thank you

Answer by Math_Boss(45) (Show Source): You can put this solution on YOUR website!
g(x) means its a function. It depends on (x).
You need to find if "a" is greater than or less than zero; not "g".
a=5; a is greater than zero.
"minimum" is correct.
Minimum value is 10. occurs at x = 3.
Max value DNE, x DNE.

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SOLUTION: Please help solve. I was able to put g(x) = 5x^2 &#8722; 30x + 55 into standard form like so g(x) = 5(x &#8722; 3)^2 + 10 I understand that the vertex is (3,10) however what does t

SOLUTION: Please help solve. I was able to put g(x) = 5x^2 − 30x + 55 into standard form like so g(x) = 5(x − 3)^2 + 10 I understand that the vertex is (3,10) however what does t