Ask
your own question, for FREE!
Mathematics
41 Online
At what value of X does the minimum or maximum occur for the function. F(x)= 2 (x+2)^2+8 A.) Minimum occurs at x=8 B.)Maximum occurs at X=-2 C.)Maximum occurs at x=8 D.) Minimum occurs at x=-2
Still Need Help?
Join the QuestionCove community and study together with friends!
For this, we need to calculate the derivative: f(x)=2(x+2)² + 8 f'(x)=4x + 8 To determine where the minimum or maximum is, we solve f'(x)=0 4x+8=0 4x=-8 x=-2 Now, does f(x) have a maximum or a minimum?
maximum?
so its B
f(x)=2(x+2)² +8 = 2(x²+4x+4)+8=2x²+8x+16 Now, a=2, so f(x) has a minimum. Look: y=x² has a minimum, and a=1, which is positive.
So the answer is D
Still Need Help?
Join the QuestionCove community and study together with friends!
oh okay so it's minimum... duhhh and that would make it D
Thanks so much :)
That's my duty as mathematician.
Can't find your answer?
Make a FREE account and ask your own questions, OR help others and earn volunteer hours!
Join our real-time social learning platform and learn together with your friends!
Join our real-time social learning platform and learn together with your friends!
Latest Questions
SsTDOGRednek:
Alr, so I see people with labels on their names. What do they mean? One is an Ambassador, another is a Senior Moderator, and there's one called the Wizard.
Strawberriesrgud7:
I made a cute sketch from an image. They're kinda similar
Lillys2account:
(Verse 1) I was lost in the silence, drifting away Shadows in my mind, stealing light from the day Then you pulled me closer, right through the storm Now I
Lillys2account:
ChatGPT Log in You said: Can you remix this song "you are the reason" by Calum Scott ChatGPT said: Sure, I can help remix "You Are the Reason" by Calum Scot
ShadowKid3:
I drew Leon again (used suggestions from last art post) so Leon v2 :D
1 hour ago
3 Replies
1 Medal
24 minutes ago
3 Replies
4 Medals
1 hour ago
7 Replies
4 Medals
8 hours ago
0 Replies
0 Medals
3 hours ago
5 Replies
1 Medal