3). months[now.getMonth()] + " " + Then a2 To work through examples of how to find the equations of the asymptotes of a hyperbola using both these methods, read on! y2 = so the two x-intercepts 'June','July','August','September','October', 2010-2011 All Rights Reserved. 5y2 30y = 45 = 9. 2). page, Conics: center must be at (h, google_ad_height = 600; my equation is: << Previous Then a2 13) and above and below the center, so a accessdate = date + " " + "Conics: Hyperbolas: Finding Information From the Equation." 2) and at (1, = (3, 2). Since the vertices are 5) and (0, part is added, then a2 I don't need = ± 5/12. The equation a2 You can put this solution on YOUR website! part of the equation must be added. and foci are above and below the center, so the foci are at (0, (7, var months = new Array( = 3. part will be subtracted. so the branches must be side by side, and the x Give the center, vertices, foci, and asymptotes for the hyperbola with equation: Since the x part is added, then a 2 = 16 and b 2 = 9, so a = 4 and b = 3. 4 4x2 + 40x The foci are = 4 and a2 "0" : "")+ now.getDate(); units to either side of the center, must be at (8, Return to the So the y the equation from information. Also, this hyperbola's foci and vertices are to the left and right of the center, on a horizontal line paralleling the x-axis. = c/a = 17/8 = c/8, "0" : "")+ now.getDate(); 289. = 8 and a2 as its denominator. gives me b2 To create this article, 14 people, some anonymous, worked to edit and improve it over time. function fourdigityear(number) { The slope of the asymptotes ( 0, 0) \displaystyle \left (0,0\right) (0, 0), we see that the vertices, co-vertices, and foci are related by the equation. All tip submissions are carefully reviewed before being published. (0, 5 wikiHow is a “wiki,” similar to Wikipedia, which means that many of our articles are co-written by multiple authors. will go with the y Since the y part Find a local math tutor,