(c) Find its maximum or minimum value. f(x) =

label Algebra
account_circle Unassigned
schedule 1 Day
account_balance_wallet $5

A quadratic function is given.
f(x) = 8x2 − 16x + 1
(a) Express the quadratic function in standard form.
f(x) =

(c) Find its maximum or minimum value. 

f(x) = 
Jul 6th, 2015

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

The given equation is 8 x^2-16x+1

 Here a= 8, b= -16 and c= 1

Using the formula

x= -{b+-(b^2-4ac)}/2a Put the values of a,b and c. 

We get x1= 1+1/4 sqrt 14

x2= 1-1/4 sqrt 14

To find the maximum and minimum value, we will use Perfect square method.

Make the coefficient of x%5E2 positive by multiplying it by -1 in casea%3C0.
Maxima / Minima is decided from the sign of 'a'. 
If 'a' is positive then we have Minima and for 'a'negative we have Maxima.

Step two:
Now make the perfect square with the same x%5E2 and x coefficient. 

Maxima / Minima lies at the point where this squared term is equal to zero.


This point is a minima if value of coefficient of x2 is positive and vice versa. For our function the point x=1 is a minima.

Please let me know if you need any clarification. I'm always happy to answer your questions.
Jul 6th, 2015

Did you know? You can earn $20 for every friend you invite to Studypool!
Click here to
Refer a Friend
Jul 6th, 2015
Jul 6th, 2015
Oct 18th, 2017
Mark as Final Answer
Unmark as Final Answer
Final Answer

Secure Information

Content will be erased after question is completed.

Final Answer