finding the max or min of a quadratic function

label Algebra
account_circle Unassigned
schedule 1 Day
account_balance_wallet $5

answer the questions below about the quadratic function

g(x)=-3x²+6x-6

a. does the function have a minimum or maximum value

b. what is the function's min or max value

c. where does it occur  x=

Oct 10th, 2015

Thank you for the opportunity to help you with your question!

-----------------------------------------------------------------------------

g(x) = -3x²+6x-6

The general form of a quadratic equation is

g(x) = ax² + bx + c

Comparing the two equations we get

a = -3

b = 6

c = -6

We can decide whether the given quadratic function has a maximum or minimum value by looking at the coefficient of x² which is a.

If a < 0 then the parabola opens downward and so the vertex will be the highest point on the curve. So it will have a maximum value.

If a > 0 then the parabola opens upward and so the vertex will be the lowest point on the curve. So it will have a minimum value.

In this case the coefficient of x² is a = -3 < 0.

So the function has a maximum value.

Vertex occurs where 



Substitute x = 1 in g(x) to get the maximum value.

So the functions maximum value is -3.

The maximum value occurs at x = 1.

------------------------------------------------------------------------------


Please let me know if you need any clarification. I'm always happy to answer your questions.
Oct 10th, 2015

Did you know? You can earn $20 for every friend you invite to Studypool!
Click here to
Refer a Friend
...
Oct 10th, 2015
...
Oct 10th, 2015
Jun 28th, 2017
check_circle
Mark as Final Answer
check_circle
Unmark as Final Answer
check_circle
Final Answer

Secure Information

Content will be erased after question is completed.

check_circle
Final Answer