A community for students.
Here's the question you clicked on:
 0 viewing
anonymous
 one year ago
Given the functions f(x) = x2 + 6x − 1, g(x) = –x2 + 2, and h(x) = 2x2 − 4x + 3, rank them from least to greatest based on their axis of symmetry.
anonymous
 one year ago
Given the functions f(x) = x2 + 6x − 1, g(x) = –x2 + 2, and h(x) = 2x2 − 4x + 3, rank them from least to greatest based on their axis of symmetry.

This Question is Closed

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Treat them as if you were completing the square

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0so\[x^2+6x1=(x+3)^210\], the bracket sets them up looking like an a^210 (a=x+3), like any normal quadratic they start at a line of symmetry of x=0, so the translation of 10 means is irrelevant and the transformation +3 means the line of symmetry shifted to the left by 3 (i.e line of symmetry is x=3)

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Try it for the rest then you can compare their lines of symmetry

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0so for the 2nd one, take out the the negative. x^2+2=(x^22), line of symmetry is x=2

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Yep! I understand now. Thank you so much!

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Whoops, I've run into some trouble again. When comparing the line of symmetry for h(x), which I found to be positive 1, I realized it can't be the right answer. What am I doing wrong?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0so factorising 2 out \[2x^24x+3=2(x^22x)+3=2(x1)^21+3\] line of symmetry should be positive 1

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0oh after the 2 should still be 2(((x1)^2)1) but that still wouldnt make a difference to the line of symmetry

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Exactly! However, according the practice module, that can't be right. Is there a possibility that f(x) is equivalent to positive 3 rather than negative as we had originally thought?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0its still gonna be +3 in the brackets so thats a 3 translation, did you type up f(x) wrong?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Well, in the practice module, it gave these options for the ordering of the functions by line of symmetry (least to greatest):

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0B. h, g, f C. g, h, f D. h, f, g

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0so it should be in the order (small to greatest), f(x), h(x), g(x) :/

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0But our findings would suggest f, h, g, like you said, but it's not an option.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0It must be an error in the module.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0oh sorry i made a mistake with g

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0you dont need to bracket it because its x^2, its an upside down quadratic so its symmetry is still 0 not 2

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0thus the order would be f, g, h?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Thank you for clearing that up! I was driving myself crazy. It's funny that I didn't notice the error in g(x) either.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0it was my fault i thought (x^22) was (x2)^2 XD
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.