Hyperbolas and Completing the Square : Vertices, Foci and Asymptotes
Not what you're looking for?
Completing the square problems: HYPERBOLAS-
Find the center, vertices, foci, and asymptotes of the hyperbola. Please give the equation in standard form, i.e. (x-h)^2/a^2 - (y-k)^2/b^2=1 or other way around.
15)
? 9x^2-y^2-36x-6y+18=0
Answer: Center (2,-3)
Vertices (3,-3), (1,-3)
Foci: (2+ or √10, -3)
Asymptotes: (y=-3 + or - 3(x+2).
17)
? x^2-9y^2+2x-54y-80=0
Answer: The graph of this equation is two lines intersecting at (-1,-3)? Is that all?
19)
? 2x^2-3y^2=6
Center: (0, 0)
Vertices: (+ or - √3, 0)
Foci: (+ or - √5, 0)
21)
? 9y^2-x^2+2x+54y+62=0
Center: (1,-3)
Vertices: (1,-3 + or - √2)
Foci: (1, -3 + or - (2√5) )
---
Purchase this Solution
Solution Summary
Hyperbolas, Completing the Square, Vertices, Foci and Asymptotes are investigated. The solution is detailed and well presented.
Purchase this Solution
Free BrainMass Quizzes
Solving quadratic inequalities
This quiz test you on how well you are familiar with solving quadratic inequalities.
Probability Quiz
Some questions on probability
Geometry - Real Life Application Problems
Understanding of how geometry applies to in real-world contexts
Exponential Expressions
In this quiz, you will have a chance to practice basic terminology of exponential expressions and how to evaluate them.
Multiplying Complex Numbers
This is a short quiz to check your understanding of multiplication of complex numbers in rectangular form.