A hyperbola has the equation 9x - 16y = 144. Answer the following questions to graph...

  

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A hyperbola has the equation 9x - 16y = 144. Answer the following questions to graph the function. Key Information: (x-h) (y-k) a bz Equation of Hyperbola: = 1 or simply If x term is positive hyperbola is oriented horizontally, if x term is negative, hyperbola is oriented vertically. Center of Hyperbola: c 1. Transform the equation by getting it set equal to one, to write in standard hyperbola form. Equation: b. So the foci and vertices are on the 3. Based on your equation to find a and b. a. a = x y q 2. a. Since the x term is positive, the hyperbola is oriented b. b= - axis. = 1 4. Use a and b to sketch the central box on the graph. 5. Recall that for hyperbolas, c = a + b. Find c, show work. 6. What are the vertices of the hyperbola? 7. What are the foci of the hyperbola? 8. The asymptotes of the hyperbola are at y = 9. Sketch all of the pieces that you have found thus far on the graph. Then, use the asymptotes as guidelines to sketch branches of your graph. The branches should be smooth curves and should approach the asymptotes. A hyperbola has the equation 9x - 16y = 144. Answer the following questions to graph the function. Key Information: (x-h) (y-k) a bz Equation of Hyperbola: = 1 or simply If x term is positive hyperbola is oriented horizontally, if x term is negative, hyperbola is oriented vertically. Center of Hyperbola: c 1. Transform the equation by getting it set equal to one, to write in standard hyperbola form. Equation: b. So the foci and vertices are on the 3. Based on your equation to find a and b. a. a = x y q 2. a. Since the x term is positive, the hyperbola is oriented b. b= - axis. = 1 4. Use a and b to sketch the central box on the graph. 5. Recall that for hyperbolas, c = a + b. Find c, show work. 6. What are the vertices of the hyperbola? 7. What are the foci of the hyperbola? 8. The asymptotes of the hyperbola are at y = 9. Sketch all of the pieces that you have found thus far on the graph. Then, use the asymptotes as guidelines to sketch branches of your graph. The branches should be smooth curves and should approach the asymptotes.