A community for students.
Here's the question you clicked on:
 0 viewing
anonymous
 one year ago
Find the vertex of the graph of the function.
f(x) = 4x2 + 24x + 32
anonymous
 one year ago
Find the vertex of the graph of the function. f(x) = 4x2 + 24x + 32

This Question is Closed

FireKat97
 one year ago
Best ResponseYou've already chosen the best response.1the vertex lines on the axes of symmetry for a parabola, so first you want to find that and you can do so by using axes of symmetry = b/2a where y = ax^2 + bx + c

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0f(x) = 4x2 + 24x + 32 b=24 a=4 b/2a 24/8

FireKat97
 one year ago
Best ResponseYou've already chosen the best response.1yup thats correct! so now to find the y coordinate that goes with this, we simply sub 24/8 = 3, into the equation, to solve for y

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Hmm how did you get the 3 ? Sorry I'm really bad at math !!

FireKat97
 one year ago
Best ResponseYou've already chosen the best response.1Oh thats okay! I just simplified 24/3 because 3 goes into 24, 8 times and we have a minus out the front as well... @ashhhrodriguez

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Oh WOW thank you! What exactly do I sub 3 for all the x values ?

FireKat97
 one year ago
Best ResponseYou've already chosen the best response.1okay so we know that at our axes of symmetry, x = 3, right?

FireKat97
 one year ago
Best ResponseYou've already chosen the best response.1Now we want to sub this back into the equation, to find out what y is equal to as x = 3... agreed?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Ohh so we already have our x value to our vertex 3

FireKat97
 one year ago
Best ResponseYou've already chosen the best response.1yuppp thats what the equation b/2a gave us

FireKat97
 one year ago
Best ResponseYou've already chosen the best response.1so now we have to find the y value which goes with it

FireKat97
 one year ago
Best ResponseYou've already chosen the best response.1and we can do that by subbing x = 3 back into the original equation

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0(3,4) Thank you so so much !

FireKat97
 one year ago
Best ResponseYou've already chosen the best response.1Yup thats correct! And no problem! :)
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.