1. Consider the curve defined by 9x2 – 16 y² +36x + 96y– 252 = 0. a) Write the equation of the curve in standard form. b) Give the equations of the asymptotes. Write your answers in the form: ax+ by+c = 0. c) Draw the curve on the axes below or take a photo of it drawn by hand. Do not screenshot a copy from DESMOS or equivalent. y X' -10 10

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.3: Hyperbolas
Problem 33E
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1. Consider the curve defined by 9x? – 16 y? + 36x+ 96y– 252 = 0.
a) Write the equation of the curve in standard form.
b) Give the equations of the asymptotes. Write your answers in the form: ax+ by+c = 0.
c) Draw the curve on the axes below or take a photo of it drawn by hand. Do not screenshot a copy
from DESMOS or equivalent.
y
-10
Transcribed Image Text:1. Consider the curve defined by 9x? – 16 y? + 36x+ 96y– 252 = 0. a) Write the equation of the curve in standard form. b) Give the equations of the asymptotes. Write your answers in the form: ax+ by+c = 0. c) Draw the curve on the axes below or take a photo of it drawn by hand. Do not screenshot a copy from DESMOS or equivalent. y -10
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