SOLUTION: Could someone tell me if this is right or not? Indicate whether the graphs of the following will have a maximum or minimum. a) f(x)=8x-3x^2 (is maxi right?) b) f(x)=x^2-9 (ma

Algebra ->  Graphs -> SOLUTION: Could someone tell me if this is right or not? Indicate whether the graphs of the following will have a maximum or minimum. a) f(x)=8x-3x^2 (is maxi right?) b) f(x)=x^2-9 (ma      Log On


   



Question 204285: Could someone tell me if this is right or not?
Indicate whether the graphs of the following will have a maximum or minimum.
a) f(x)=8x-3x^2 (is maxi right?)
b) f(x)=x^2-9 (maxi?)
c) f(x)=-(3-x)^2 (mini?)

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Here's something helpful to remember: The polynomial f%28x%29=ax%5E2%2Bbx%2Bc has a minimum when a%3E0 (ie when "a" is positive) or has a maximum when a%3C0 (ie when "a" is negative)


So for all three, simply get the right sides into the form ax%5E2%2Bbx%2Bc and determine the values of "a". From there, determine if those values are either positive or negative.

Note: you have to FOIL (ie expand) the right side of part c)