Got Homework?
Connect with other students for help. It's a free community.
Here's the question you clicked on:
 0 viewing
dietrich_harmon
Group Title
Order the group of quadratic functions from widest to narrowest graph.
 2 years ago
 2 years ago
dietrich_harmon Group Title
Order the group of quadratic functions from widest to narrowest graph.
 2 years ago
 2 years ago

This Question is Closed

terenzreignz Group TitleBest ResponseYou've already chosen the best response.0
All these quadratic functions, before you even show them, see that coefficient of the x² ? The smaller the coefficient, the wider the graph ;)
 2 years ago

dietrich_harmon Group TitleBest ResponseYou've already chosen the best response.1
WHAT
 2 years ago

terenzreignz Group TitleBest ResponseYou've already chosen the best response.0
Let me rephrase that The smaller the absolute value of the coefficient of the x² part, the WIDER the graph. For example x² + 5x + 3 4x² 2x + 9 The first graph would be wider as the coefficient of x² there (1) is smaller than the coefficient of the x² in the second (4). BE CAREFUL, I said ABSOLUTE VALUE. So if you had x² + 5x + 3 4x² +2x  9 instead, the first graph is still wider even though 4 < 1. In other words, disregard the sign of the x², and the smaller the coefficient, the wider.
 2 years ago

dietrich_harmon Group TitleBest ResponseYou've already chosen the best response.1
Short answer: y=2x^2 is the widest y=5x^2 is the narrowest Long answer: To solve, think about the numbers. Say x = 0. y=0 in all three problems then. Okay, now say x=3. y = 5x^2 = 5(3^2) = 45 *higher number "goes up faster" when graphed y = 4x^2 = 4(3^2) = 36 y = 2x^2 = 2(3^2) = 18 *lower number make a "wider" graph Basically, think about; y = Ax^2 The bigger 'A' is, the slimmer the graph. * if you want to get technical, no graph is "wider", since they all can reach to infinity & negative infinity in this case, but that's far outside the question...
 2 years ago

terenzreignz Group TitleBest ResponseYou've already chosen the best response.0
Yeah, that. :)
 2 years ago
See more questions >>>
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.