A community for students.
Here's the question you clicked on:
 0 viewing
anonymous
 one year ago
Using the completingthesquare method, find the vertex of the function f(x) = 2x2 − 8x + 6 and indicate whether it is a minimum or a maximum and at what point.
Maximum at (2, –2)
Minimum at (2, –2)
Maximum at (2, 6)
Minimum at (2, 6)
anonymous
 one year ago
Using the completingthesquare method, find the vertex of the function f(x) = 2x2 − 8x + 6 and indicate whether it is a minimum or a maximum and at what point. Maximum at (2, –2) Minimum at (2, –2) Maximum at (2, 6) Minimum at (2, 6)

This Question is Closed

Mehek14
 one year ago
Best ResponseYou've already chosen the best response.1since the first term is positive = \(2x^2\) that means it is opening upwards so the vertex would be the minimum that eliminates A and C

Mehek14
 one year ago
Best ResponseYou've already chosen the best response.1to find the vertex, use \(\dfrac{b}{2a}\) in your equation, you have b = 8 a = 2 \(\dfrac{(8)}{2*2}=\dfrac{8}{4}=2\) so x = 2

Mehek14
 one year ago
Best ResponseYou've already chosen the best response.1plug x = 2 into the equation

Mehek14
 one year ago
Best ResponseYou've already chosen the best response.1@boots_2000 can you do that?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Yeah so is it maximum 2,6?

IrishBoy123
 one year ago
Best ResponseYou've already chosen the best response.0it says "Using the completingthesquare method"

Mehek14
 one year ago
Best ResponseYou've already chosen the best response.1no did you plug in x = 2 in the equation

welshfella
 one year ago
Best ResponseYou've already chosen the best response.2using completing the square: = 2(x^2  4x + 3) = 2[(x  2)^2  c + 3] can you tell me the value of c  can you remember from the last post?

Mehek14
 one year ago
Best ResponseYou've already chosen the best response.1\(f(2)=2*2^28*2+6\\2^2=4\\2*4=8\\8*2=16\\816=8\) add \(8+6\)

Mehek14
 one year ago
Best ResponseYou've already chosen the best response.1\(\color{#0cbb34}{\text{Originally Posted by}}\) @Mehek14 since the first term is positive = \(2x^2\) that means it is opening upwards so the vertex would be the minimum that eliminates A and C \(\color{#0cbb34}{\text{End of Quote}}\)

welshfella
 one year ago
Best ResponseYou've already chosen the best response.2its a minimum but what are the coordinates at the minimum?

Mehek14
 one year ago
Best ResponseYou've already chosen the best response.1\(\color{#0cbb34}{\text{Originally Posted by}}\) @Mehek14 \(f(2)=2*2^28*2+6\\2^2=4\\2*4=8\\8*2=16\\816=8\) add \(8+6\) \(\color{#0cbb34}{\text{End of Quote}}\)

welshfella
 one year ago
Best ResponseYou've already chosen the best response.2No mehek has worked the y coordinate for you you can also get from the completing the square method

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0could you guys come and help me quick when you're all done here?

welshfella
 one year ago
Best ResponseYou've already chosen the best response.2I'll carry from where i left off 2[(x  2)^2  c + 3] c = 4 because 2^2 = + 4 = 2(x  2)^2  1) = 2(x  2)^2  2 so the vertex is at ( 2,2) you get this by comparing your expression with the genarl form for the vertex

welshfella
 one year ago
Best ResponseYou've already chosen the best response.2dw:1440256991772:dw
Ask your own question
Sign UpFind more explanations on OpenStudy
Your question is ready. Sign up for free to start getting answers.
spraguer
(Moderator)
5
→ View Detailed Profile
is replying to Can someone tell me what button the professor is hitting...
23
 Teamwork 19 Teammate
 Problem Solving 19 Hero
 Engagement 19 Mad Hatter
 You have blocked this person.
 ✔ You're a fan Checking fan status...
Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.