A community for students.
Here's the question you clicked on:
 0 viewing
iwanttogotostanford
 one year ago
ACT PREP Q/ PLEASE HELPPP: ACT PREP Q/ PLEASE HELP: The functions f(x) = –(x + 4)^2 + 2 and g(x) = (x − 2)^2 − 2 have been rewritten using the completingthesquare method. Is the vertex for each function a minimum or a maximum? Explain your reasoning for each function.
iwanttogotostanford
 one year ago
ACT PREP Q/ PLEASE HELPPP: ACT PREP Q/ PLEASE HELP: The functions f(x) = –(x + 4)^2 + 2 and g(x) = (x − 2)^2 − 2 have been rewritten using the completingthesquare method. Is the vertex for each function a minimum or a maximum? Explain your reasoning for each function.

This Question is Closed

zepdrix
 one year ago
Best ResponseYou've already chosen the best response.1\(\large\rm y=x^2\) is a parabola opening `upward`.dw:1443654118776:dw

zepdrix
 one year ago
Best ResponseYou've already chosen the best response.1dw:1443654152110:dwSo the vertex is a minimum. It is lower than any other point on the curve.

zepdrix
 one year ago
Best ResponseYou've already chosen the best response.1\(\large\rm y=x^2\) is a parabola opening downward.dw:1443654195359:dw

zepdrix
 one year ago
Best ResponseYou've already chosen the best response.1dw:1443654246434:dwAnd we can clearly see that the vertex is the highest point on the curve, the maximum.

zepdrix
 one year ago
Best ResponseYou've already chosen the best response.1Hmmmm so what do you think? :d how does that apply to f(x) and g(x)

iwanttogotostanford
 one year ago
Best ResponseYou've already chosen the best response.0im not sure, i don't know how to do this at all i am studying for the ACT and was so clueless on this one!

iwanttogotostanford
 one year ago
Best ResponseYou've already chosen the best response.0I have not learned this yet and this was one of the harder questions for the ACT practice

zepdrix
 one year ago
Best ResponseYou've already chosen the best response.1well use my examples :O and try to guess at least

iwanttogotostanford
 one year ago
Best ResponseYou've already chosen the best response.0So I was hoping for a step by step so I could use it for learning! :)

iwanttogotostanford
 one year ago
Best ResponseYou've already chosen the best response.0What??! I have an ACT prep book right in front of me and I am clueless! Its not for a grade

zepdrix
 one year ago
Best ResponseYou've already chosen the best response.1no, im saying, give ME a guess. lol

zepdrix
 one year ago
Best ResponseYou've already chosen the best response.1do you understand how to find the vertex when a function is given in this form? :)

iwanttogotostanford
 one year ago
Best ResponseYou've already chosen the best response.0ok, well I think the vertex is a minimum and NOPE

iwanttogotostanford
 one year ago
Best ResponseYou've already chosen the best response.0I am learning algebra 2 right noe but I have the ACT this october

zepdrix
 one year ago
Best ResponseYou've already chosen the best response.1well unfortunately, this is two questions, not just one. It's asking about two separate functions, f(x) and g(x).

iwanttogotostanford
 one year ago
Best ResponseYou've already chosen the best response.0i know! I need helpp

zepdrix
 one year ago
Best ResponseYou've already chosen the best response.1the vertex form of a parabola looks like this:\[\large\rm y=(x\color{#3366CF}{h})^2+\color{#3366CF}{k}\]Where the vertex is located at \(\large\rm (\color{#3366CF }{h},~\color{#3366CF }{k})\). But what is interesting is.... the location of the vertex actually has no impact on whether it is a maximum or minimum!

iwanttogotostanford
 one year ago
Best ResponseYou've already chosen the best response.0huh thats interesting!

zepdrix
 one year ago
Best ResponseYou've already chosen the best response.1So for our function:\[\large\rm f(x)=(x\color{#3366CF}{(4)})^2+\color{#3366CF}{2}\]We can see that our vertex is located at \(\large\rm (\color{#3366CF }{4},~\color{#3366CF }{2})\). But this doesn't matter so much. All we really care about, is whether or not there is a `negative sign` in front of the squared term.

zepdrix
 one year ago
Best ResponseYou've already chosen the best response.1`Negative sign` means the parabola opens down, means vertex is a `maximum`. `positive sign` means the parabola opens up, meaning the vertex is a `minimum`. For f(x), the squared term has a `negative` in front. So our vertex corresponds to a `maximum`. How bout g(x)? Any ideas? :o

iwanttogotostanford
 one year ago
Best ResponseYou've already chosen the best response.0@zepdrix minimum right? for g(x)

zepdrix
 one year ago
Best ResponseYou've already chosen the best response.1\[\large\rm g(x)=(x2)^22\]Mmmm ok good! There are a lot of negatives floating around in g, so it's easy to get confused, but what's important is that the square is positive,\[\large\rm g(x)=+(x2)^22\]So the vertex of g(x) corresponds to a minimum. yay team \c:/
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.