A community for students.
Here's the question you clicked on:
 0 viewing
 11 months ago
What is the graph to 2x^2=8? I know this is a standard parabola, but what do you do with the 8?
 11 months ago
What is the graph to 2x^2=8? I know this is a standard parabola, but what do you do with the 8?

This Question is Closed

dg98
 11 months ago
Best ResponseYou've already chosen the best response.0are you sure it's a graph? shouldn't it always be equal to y or f(x)?

kylewendt
 11 months ago
Best ResponseYou've already chosen the best response.1Yes, it is a graph. If you need me to, I can copy the exact question (Which isn't much different)

AccessDenied
 11 months ago
Best ResponseYou've already chosen the best response.1If we graph y = 2x^2 and y = 8 individually, their intersection is the graph for that equation; That said, 2x^2 is indeed a parabola with a bit of vertical stretch. The 8 is a constant. Consider it as a class of points where the yvalue is 8: (x, 8) We can put any xvalue in and get a point on this line, so the line is just a horizontal line through (0, 8)

AccessDenied
 11 months ago
Best ResponseYou've already chosen the best response.1Or alternatively, I think you could bring that 8 over to the left: 2x^2  8 = 0 and draw that graph, which is the same parabola but shifted downwards by 8 units. The intersection at y=0 is the solution set in that case.

kylewendt
 11 months ago
Best ResponseYou've already chosen the best response.1So, with 2 solutions, 2 and 2, would this be the graph?

AccessDenied
 11 months ago
Best ResponseYou've already chosen the best response.1That parabola seems to be flipped upsidedown, implying it has a negative leading coefficient and positive vertical shift upwards. This parabola given by the equation has to be facing up because its leading term is +2. The whole graph will be shifted down 8 units.

kylewendt
 11 months ago
Best ResponseYou've already chosen the best response.1Okay, thank you. I see my problem now!

AccessDenied
 11 months ago
Best ResponseYou've already chosen the best response.1Great! I'm glad to help! :)
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.