SOLUTION: Determine without graphing if th quadratic fuction has a max value or min value then find the valueF(x)= -3x^2 -3x stuck on this one

Algebra.Com
Question 761859: Determine without graphing if th quadratic fuction has a max value or min value then find the valueF(x)= -3x^2 -3x stuck on this one
Answer by josgarithmetic(39617)   (Show Source): You can put this solution on YOUR website!
The form of F is in , and in your case, .
Your function as a graph has a maximum and opens downward, because your value for a is , because .

Finding the roots is very easy, and can be used to find the maximum value for F.
Look for where .
Roots are 0 and -1. Find then because this will be the maximum value for F.

RELATED QUESTIONS

Determine, without graphing, whether the given quadratic function has a maximum value or... (answered by jim_thompson5910)
Determine, without graphing, whether the given quadratic function has a maximum value or... (answered by robertb)
f(x)=-x^2+2x+7 Determine if this has a maximum or a minimum value. Then find the max/min... (answered by jsmallt9)
Determine, without graphing, whether the given quadratic function has a maximum value or... (answered by ikleyn,solver91311)
Determine, without graphing weather the function f(x)=-x²+3x+4 has a maximum value or a... (answered by josgarithmetic,stanbon)
determine, without graphing, whether the given quadratic function has a maximum value or... (answered by solver91311)
Determine, without graphing, whether the given quadratic function has a maximum value or... (answered by josgarithmetic)
Find the vertex, line of symmentry, and the max/min value of f(x)=1/5(x+2)^2+2, is the... (answered by josmiceli)
Determine whether the given quadratic function has a minimum value or maximum value. Then (answered by stanbon,Alan3354)