SOLUTION: how do you graph y^2-x^2=9
Algebra.Com
Question 453837: how do you graph y^2-x^2=9
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
how do you graph y^2-x^2=9
..
Standard form of a hyperbola with horizontal transverse axis: (x-h)^2/a^2-(y-k)^2/b^2=1, with (h,k) being the (x,y) coordinates of the center.
Standard form of a hyperbola with vertical transverse axis: (y-k)^2/a^2-(x-h)^2/b^2=1, with (h,k) being the (x,y) coordinates of the center.
The difference between the two forms is the interchange of (x-h) and (y-k)
..
y^2-x^2=9
y^2/9-x^2/9=1
Given equation is a hyperbola with center at (0, 0) and it has a vertical transverse axis.
a^2=9
a=3
2a=6=transverse axis
vertices: (0,0±3)
b^2=9
b=3
2b=6=conjugate axis
Equation of asymptotes: y=±(a/b)x
See the graph below as a visual check
..
y=(9+x^2)^.5
RELATED QUESTIONS
how do you graph... (answered by stanbon)
how do you graph... (answered by Alan3354)
How do you graph... (answered by richard1234)
how do you graph X+Y>2 (answered by Ave)
how do you graph... (answered by jim_thompson5910)
How do you graph to graph... (answered by scianci)
How do you graph: y =... (answered by checkley77)
how do you graph y= -x^2... (answered by usyim88hk)
How do you graph {x^2-y^2=16}
(answered by stanbon)