AnswersGeometryPractice TestQuestion 9
9
practice testMultiple Choice

Practice Test

Question 9 • Geometry

Which is the equation of an asymptote of the hyperbola whose equation is the fraction with numerator open paren x minus 2 close paren squared and denominator 4 minus the fraction with numerator open paren y minus 1 close paren squared and denominator 36 is equal to 1 ?

Answer
A
y is equal to negative 3 x minus 7
B
y is equal to negative 3 x minus 5
C
y is equal to 3 x plus 7
D
y is equal to 3 x minus 5

Explanation

The hyperbola is centered at (2, 1), with a = 2 and b = 6. Its asymptotes have slopes ±b/a = ±3 and pass through the center. Using slope 3 gives y − 1 = 3(x − 2), or y = 3x − 5, which is choice C.

AI-written and checked against the verified answer.

Previous
Next

More from this Course

practice test
20 verified answers

Practice Test

practice test
16 verified answers

Practice Test

practice test
16 verified answers

Practice Test