# General Form of the Equation

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General Form of the Equation### Questions

- What type of conic section has the equation #4x^2 - 25y^2 - 50y - 125= 0#?
- What type of conic section has the equation #4x^2 - y^2 +4y - 20= 0#?
- What type of conic section has the equation #9y^2 - x^2 - 4x+54y +68= 0#?
- What type of conic section has the equation #4x^2 - y^2 - 16x - 2y+11=0= 0#?
- How do I convert the equation #4x^2 - y^2 - 24x+4y +28= 0# to standard form?
- How do I use completing the square to convert the general equation of a hyperbola to standard form?
- How do I convert the equation #-9x^2 +4y^2 +72x-16y =164# to standard form?
- What type of conic section has the equation #4x^2-y^2=16#?
- What type of conic section has the equation #9x^2-4y^2=36#?
- How do I convert the equation #9x^2−y^2+54x+10y+55=0# to standard form?
- What is the general form of a hyperbola?
- How do you graph the equation of a hyperbola written in the general form?
- How do you determine the slant asymptotes of a hyperbola?
- What is the equation of a hyperbola with a=6 and c=9?
- Is the following equation an ellipse, circle, parabola, or hyperbola #4x^2-3y^2-48x-6y+129=0#?
- Is the following equation an ellipse, circle, parabola, or hyperbola #4x^2 + 9y^2 - 16x +18y -11 = 0#?
- How do you graph & find the focus as well as the vertex of #4y^2 - 9x^2 - 40y - 54x - 17 = 0#?
- How do you find the center, vertices, foci and eccentricity of #x^2/100 + y^2/64 = 1#?
- How do you find an equation that models a hyperbolic lens with a=12 inches and foci that are 26 inches apart, assume that the center of the hyperbola is the origin and the transverse axis is vertical?
- A comet follows the hyperbolic path described by #x^2/4 -y^2/19 = 1#, where x and y are in millions of miles. If the sun is the focus of the path, how close to the sun is the vertex of the path?
- How do you find the vertices and foci of #x^2/9-y^2/64=1#?
- How do you find the vertices and foci of #y^2/49-x^2=1#?
- How do you find the vertices and foci of #x^2/121-y^2/4=1#?
- How do you find the vertices and foci of #4y^2-81x^2=324#?
- How do you find the vertices and foci of #36x^2-10y^2=360#?
- How do you find the vertices, asymptote, foci and graph #x^2/36-y^2=1#?
- How do you find the vertices, asymptote, foci and graph #y^2/25-x^2/49=1#?
- How do you find the vertices, asymptote, foci and graph #y^2/9-x^2/100=1#?
- How do you find the vertices, asymptote, foci and graph #x^2/144-y^2/121=1#?
- How do you find the vertices, asymptote, foci and graph #x^2/64-(9y^2)/4=1#?
- How do you find the vertices, asymptote, foci and graph #y^2/25-x^2/16=16#?
- How do you find the vertices, asymptote, foci and graph #100x^2-81y^2=8100#?
- How do you find the vertices, asymptote, foci and graph #x^2-9y^2=25#?
- How do you find the vertices, asymptote, foci and graph #y^2/144-x^2/100=1#?
- How do you write the equation of the hyperbola given Foci: (-4,0),(4,0) and vertices (-1,0), (1,0)?
- How do you write the equation of the hyperbola given Foci: (-6,0),(6,0) and vertices (-5,0), (5,0)?
- How do you write the equation of the hyperbola given Foci: (0,-7),(0,7) and vertices (0,-3), (0,3)?
- How do you write the equation of the hyperbola given Foci: (-8,0),(8,0) and vertices (-4sqrt3,0), (4sqrt3,0)?
- How do you write the equation of the hyperbola given Foci: (0,-5),(0, 5) and vertices (0, -3), (0,3)?
- How do you write the equation of the hyperbola given Foci: (-8,0),(80) and vertices (-7,0), (7,0)?
- How do you write the equation of the hyperbola given Foci: (-sqrt34,0),(sqrt34,0) and vertices (-5,0), (5,0)?
- How do you write the equation of the hyperbola given Foci: (0,-9),(0,9) and vertices (0,-3sqrt5), (0,3sqrt5)?
- How do you write the equation of the hyperbola given Foci: (0,-8),(0,8) and vertices (0,-5), (0,5)?
- How do you write the equation of the hyperbola given Foci: (-3,0),(3,0) and vertices (-1,0), (1,0)?
- How do you write the equation of the hyperbola given Foci: (-6,0),(6,0) and vertices (-4,0), (4,0)?
- How do you find the equation of the hyperbola with center at the origin and vertices #(+-3,0)# and foci #(+-5,0)#?
- How do you find the equation of the hyperbola with center at the origin and vertices #(0,+-3)# and asymptotes #y=+-3x#?
- How do you find the equation of the hyperbola with center at the origin and vertices #(+-1,0)# and asymptotes #y=+-3x#?
- How do you find the equation of the hyperbola with center at the origin and foci #(+-10,0)# and asymptotes #y=+-3/4x#?