Question

Determine whether f(x)=2x^2 -6x +k has a maximum or minimum value, and determine the maximum or minimum value.

a) maximum value: k
b) minimum value: k
c) maximum value: k-9/2
d) minimum value: k-9/2
e) minimum value: k+9/2

Answer 1

Since it is a parabola if there is no negative sign in front of the equation then it will have a minimum.

The standard form of a quadratic is ax^2+bx+c
When a>0 then the equation will have a minimum.
When a<0 then the equation will have a maximum.
Honestly I have no idea what to do after that. The k is throwing me off.