# college algebra (math 90)

posted by .

How do i graph this hyperbola?
X^2+6x-3y^2=0

• college algebra (math 90) -

complete the square
x^2 + 6x + 9 - 3y^2 = 9
(x+3)^2 - 3y^2 = 9
divide by 9
(x+3)^2 /9 - y^2/3 = 1

centre (-3,0)
a = 3, b = √3

vertices at (3,0) and (-3,0)
faintly sketch a rectangle with corners
at (±3,±√3)
draw in the diagonals and extend them
sketch the hyperbola with the diagonals as asymptotes and the vertices as noted above

• college algebra (math 90) -

except the whole thing is shifted 3 units to the left - because it's (x+3)^2

## Similar Questions

1. ### Parabola/Hyperbola

Not really for homework help, but just for curiousity. Is there a way to distinguish whether the graph is a parabola or a hyperbola if you do not know the equations and one side of the hyperbola is missing (so there's just one U shape) …
2. ### Algebra II

x^2 -12y = 12x -12 is a graph of a(n) a) Ellipse b) circle c) parabola d) hyperbola
3. ### Algebra 2

a hyperbola is centered at (3,7). The vertices are (9,7) and (-3,7). The slopes of the aymptotes are m==/-5/6. Enter the equation of the hyperbola in the form: (x-h)^2/a^2-(y-k)^2/b^2=1
4. ### college algebra

write the equation of the hyperbola in standard form: x^2-4x-y^2+6y=9
5. ### math30

The equation of the hyperbola is (x-3)^2/4 - (y+1)^2/16 =-1. What is the range?
6. ### algebra

a hyperbola has vertices (+-5,0) and one focus (6,0) what is the standard form equation of the hyperbola.
7. ### Algebra 2

The graph of 5x - 9y^2 = 12 - 4y is the graph of a(n)______. a. circle b. ellipse c. hyperbola d. parabola C?
8. ### Algebra 2

The graph of 11x - x^2 - 4y^2 = 2y - 16 is the graph of a(n) ________. a. circle b. ellipse c. hyperbola d. parabola C?
9. ### physics

In an experiment to verify Newton's law of cooling, the temperature of hot water in a calorimeter T/oC is plotted against time t/min. Which of the following is true about the graph?
10. ### Algebra 2

The graph (x + 4)^2 - (y - 8)^2 = 39 is the graph of a(an) _______. Eclipse or hyperbola?

More Similar Questions