SOLUTION: Find the center, vertices,and foci of the hyperbola (4,-1)c given by the equation (x + 1) ^2/9 - (y+4)^2/7 = 1 Please give all necessary steps on how to solve so I can understand.

Algebra.Com
Question 860391: Find the center, vertices,and foci of the hyperbola (4,-1)c given by the equation (x + 1) ^2/9 - (y+4)^2/7 = 1 Please give all necessary steps on how to solve so I can understand. thank you!
Answer by ewatrrr(24785)   (Show Source): You can put this solution on YOUR website!
 
Hi,
C(-1, -4)
Hyperbola opening left and right along y = -4
vertices at (-4,-4)and (2,-4) vertices 3 units left and right of center (-1, -4),
foci: foci 4 units left and right of center (-1, -4)
foci: (-5,-4)and (3,-4)
Standard Form of an Equation of an Hyperbola opening left and right is:
with C(h,k) and vertices 'a' units right and left of center
Foci are units right and left of center along y = k
& Asymptotes Lines passing thru C(h,k), with slopes m = ± b/a
RELATED QUESTIONS

find the center, vertices, foci, and slopes of the asymptotes for each hyperbola whose... (answered by ewatrrr)
Find the center, vertices, and foci of the hyperbola given by the equation ((x+1)^2/9) -... (answered by ewatrrr)
Identify the center, vertices, and foci of this hyperbola: ((x-1)^2 / 4) - ((y-3)^2 / (answered by ewatrrr)
6. find the center, vertices, and foci of the ellipse with the following equation: (answered by lynnlo)
Find the center, vertices, and foci of the hyperbola given by the equation (y-1)^2/9 -... (answered by ewatrrr)
Find the center, vertices, foci, and asymptotes of the hyperbola. {{{(x+4)^2/16 -... (answered by lwsshak3)
Find the vertices and foci of the hyperbola given by the equation x^2/25 - y^2/24 +... (answered by ewatrrr)
Find the center, vertices, and foci of the hyperbola. Graph the hyperbola.... (answered by ewatrrr)
Y^2 − x^2 /4 = 1.What are all the vertices,asymptotes, foci and... (answered by MathLover1)