Question

What is the graph of 4x^2=y^2-24x+35
A) parabola
B) circle
C) ellipse
D) hyperbola

Answer 1

I don't think so its a circle. For that Co-eff of X^2 and Y^2 have to be same.

Answer 2

See the visual representation of the graph on google : https://www.google.co.in/search?sugexp=chrome,mod=13&ix=nh&sourceid=chrome&ie=UTF-8&q=4x%5E2%3Dy%5E2-24x%2B35#hl=en&sclient=psy-ab&q=graph+-4x%5E2%2By%5E2-24x%2B35&oq=graph+-4x%5E2%2By%5E2-24x%2B35&aq=f&aqi=&aql=&gs_l=serp.3...2480l7448l1l7999l5l4l1l0l0l0l545l1080l0j2j1j5-1l6l0.frgbld.&pbx=1&bav=on.2,or.r_gc.r_pw.r_cp.r_qf.,cf.osb&fp=ecd09be675c95c6d&ix=nh&biw=1301&bih=770

Answer 3

It's a parabola: y = 4x^2 +24x-35

Answer 4

anima - you missed the fact that the equation has \(y^2\) and not \(y\).
It's a hyperbola. See here for the various "conic" sections: http://www.wolframalpha.com/input/?i=conic+sections