SOLUTION: I need help "Identifying the vertices and foci of 4x^2-y^2+32x-14y-85=0" Thanks!

Question 854594: I need help "Identifying the vertices and foci of 4x^2-y^2+32x-14y-85=0" Thanks!
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
I need help "Identifying the vertices and foci of
4x^2-y^2+32x-14y-85=0
4x^2+32x-y^2-14y=85
complete the square:
4(x^2+8x+16)-(y^2+14y+49)=85+64-49
4(x+4)^2-(y+7)^2=100
(x+4)^2/25-(y+7)^2/100=1
This is an equation of a hyperbola with horizontal transverse axis.
Its standard form of equation: , (h,k)=coordinates of center
For given hyperbola:
center: (-4,-7)
a^2=25
a=5
vertices=(-4�a,-7)=(-4�5,-7)=(-9,-7) and (1,-7)
b^2=100
b=10
c^2=a^2+b^2=25+100=125
c=√125≈11.2
foci=(-4�c,-7)=(-4�11.2,-7)=(-15.2,-7) and (7.2,-7)

RELATED QUESTIONS
Find the vertices,asymptotes, and the foci of the hyperbola.... (answered by ewatrrr)

Find the vertices, and the foci of the hyperbola.... (answered by ewatrrr)

I need help with this equation: {{{ -16x^2+9y^2-32x-160=0 }}} I need to fins the... (answered by ewatrrr)

i need help finding the center, vertices, and foci of this equation... (answered by MathLover1)

The question is: Determine the vertices, asymptotes, and foci of the hyperbola defined... (answered by Nate)

I need help putting this equation into standard form, and if it is a parabola I have to... (answered by Fombitz)

determine the equation of the hyperbola whose vertices are the foci of the ellipse 11x^2... (answered by lwsshak3)

I need to find the center,vertices, and foci of the ellipse... (answered by Edwin McCravy)

-4x^2+9y^2-8x-54y+113=0, I need help in finding the CENTER,VERTICES,FOCI,and the equation (answered by MathLover1)