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

Question

Harrison Charles

Mathematics

25 November, 15:34

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

+3

Answers (1)

Know the Answer?

Jaylon Reeves · 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.

Determine whether f (x) = 2x^2 - 6x + k has a maximum or minimum value, and determine the maximum or minimum value.a) maximum value: kb) minimum value: kc) maximum value: k-9/2d) minimum value: k-9/2e) minimum value: k+9/2

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