Consider the function f(x)=2x^2-8x+5.
a)express f(x) in the form of a(x-p)^2+q, where a, p,q are z?
b)find the minimum value of f(x)?

This is called completing the square. 

f(x) = 2x^2 - 8x + 5 

f(x) = 2(x^2 - 4x) + 5 

f(x) = 2[(x-2)^2 - 4] + 5 

f(x) = 2(x-2)^2 - 8 + 5 

f(x) = 2(x-2)^2 - 3 

f(x) is at a minimum when (x-2) = 0, therefore x = 2 

f(2) = 2(2-2)^2 - 3 

f(2) = -3

I hope my answer has come to your help. Thank you for posting your question here in . We hope to answer more of your questions and inquiries soon. Have a nice day ahead!