# Standard Form of the Equation

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Standard Form of the Equation### Questions

- What is the standard form of the equation of a hyperbola?
- What conic section is represented by the equation #(y-2)^2/16-x^2/4=1#?
- What conic section is represented by the equation #y^2/9-x^2/16=1#?
- What conic section is represented by the equation #x^2/9-y^2/4=1#?
- How can I tell the equation of a hyperbola from the equation of an ellipse?
- What does the equation #9y^2-4x^2=36# tell me about its hyperbola?
- What does the equation #(x+2)^2/4-(y+1)^2/16=1# tell me about its hyperbola?
- What does the equation #(x-1)^2/4-(y+2)^2/9=1# tell me about its hyperbola?
- Why is a hyperbola considered a conic section?
- How do you write the equation of a hyperbola in standard form given Foci: (3,+-2) and Asymptotes: y = +-2(x-3)?
- How do you classify #13x² + 13y² - 26x + 52y = -78#?
- What is the difference between identifying a parabola, ellipse, hyperbola, and a circle?
- How do you write an equation of a hyperbola given the foci of the hyperbola are (8 , 0) and (−8 , 0), and the asymptotes are y =sqrt(7)x and y =−sqrt(7)x?
- How do you find an equation of the hyperbola with its center at the origin. Vertices (+OR- 3,0); Foci: (+OR- 5,0)?
- How do you find an equation of the hyperbola given Vertices: (2,3), (2,-3); Foci: (2,5), (2,-5)?
- How do you find an equation of hyperbola with given foci and asymptote: Foci: (0,0) and (0,4) Asymptote: y= +/-[(1/2)]x + 2?
- How do you find an equation of hyperbola with given endpoints of the transverse axis: (0,-6),(0,6); Asymptote: y=3/10 x?
- What does hyperbola mean in math?
- What are hyperbolas used for in real life?
- How do you find the standard form of the hyperbola that satisfies the given conditions: Vertices at #(0, +-2)#, foci at #(0, +-4)#?
- What are the critical points of #x^2/9 + y^2/36 = 1#?
- How do you write the equation of the ellipse #9x^2 + 4y^2 – 72x + 40y + 208 = 0#in standard form?
- How do you graph the ellipse #36x^2 + 9y^2 = 324#?
- How do you determine circle, parabola, ellipse, or hyperbola from equation #4x^2 + 9y^2 - 16x +18y -11 = 0#?
- How do you determine circle, parabola, ellipse, or hyperbola from equation #4x^2 - 9y^2 - 16x +18y -11 = 0#?
- How do you determine circle, parabola, ellipse, or hyperbola from equation #x^2 + y^2 - 16x + 18y - 11 = 0#?
- How do you identify the critical points for #(x-1)^2 = (y+1)^2#?
- How do you identify the type of conic #4x^2+8y^2-8x-24=4# is, if any and if the equation does represent a conic, state its vertex or center?
- How do you identify the following equation #(x-1)^2/9 - (y+2)^2/25 = 1# as a circle, parabola, ellipse or hyperbola?
- How do you identify the following equation # 9x^2 - 3y^2 = 27# as a circle, parabola, ellipse or hyperbola?
- How do you identify the following equation #x = (y + 4)^2 - 2# as a circle, parabola, ellipse or hyperbola?
- How do you identify the following equation #y = (x-1)^2 + 3# as a circle, parabola, ellipse or hyperbola?
- How do you identify the following equation #(x - 1)^2 + y^2/25 = 1# as a circle, parabola, ellipse or hyperbola?
- How do you find the standard form given vertices (-6, -2) and (6,-2) and foci of (-8, -2) and (8, -2)?
- How do you write an equation for the hyperbola with a centre at (-3,1), one focus (-5,1), length of conjugate axis 4?
- How do you write an equation for the hyperbola with vertices (0,2) and (0,-2) and foci at (0,9) and (0,-9)?
- How do you write an equation for the hyperbola with asymptote #y=+-(4x)/3#, contains #(3sqrt(2,)4)#?
- How do you write an equation for the hyperbola with focus at (0, 25), asymptotes intersecting at (0, 5) and an asymptote passing through (24, 13)?
- How do you write an equation for the hyperbola with center at (-2,-3), Focus at (-4,-3), Vertex at (-3,-3)?
- How do you write an equation for the hyperbola with center (0,0), vertex (-2,0) and focus (4,0)?
- How do you write an equation for the hyperbola with Foci: #(0,0)# and #(0,4)# Asmyptotes: #y= +-1/2x + 2#?
- How do you write an equation for the hyperbola with foci is at (2,2) and (6,2). and the asymptotes are y=x-2 and y=6-x?
- How do you write a standard form equation for the hyperbola with #9x^2-100y^2+18x+600y+9=0#?
- How do you write a standard form equation for the hyperbola with #9x^2 – y^2 – 36x + 4y + 23 = 0#?
- How do you write a standard form equation for the hyperbola with #36x^2 - 100y^2 - 72x + 400y = 3964#?
- How do you write a standard form equation for the hyperbola with asymptotes are at y= 1/2 x and y= -1/2x. The hyperbolas vertices are at (-3,0) and (3,0)?
- How do you write a standard form equation for the hyperbola with #y^2 - 4y - 4x^2 + 8x = 4#?
- How do you write a standard form equation for the hyperbola with vertices at (-2, 0) and (2, 0) and foci at (-6, 0) and (6, 0)?
- How do you write a standard form equation for the hyperbola with foci at (3,11) and (3,-5) and vertices at (3,7) and (3,-1)?
- How do you write a standard form equation for the hyperbola with foci are (-6,0) and (6,0) and the difference of the focal radii is 10?
- How do you write a standard form equation for the hyperbola with # y^2+2y-2x+5=0#?
- How do you write a standard form equation for the hyperbola with Vertices at #(1, -3)# and #(1,1)#; asymptote the line #y + 1 = (3/2)(x - 1)#?
- How do you write the hyperbola #36x^2-9y^2=324# in standard form?
- How do you write the hyperbola #36x^2-9y^2=324# in standard form?
- How do you write the hyperbola #36y^2-4x^2=9# in standard form?
- How do you write the hyperbola #16y^2-36x^2+9=0# in standard form?
- How do you write the hyperbola #y^2-x^2/36=4# in standard form?
- How do you write the hyperbola #x^2/9-4y^2/9=9# in standard form?
- How do you write the standard form of the hyperbola #-x^2+y^2-18x-14y-132=0#?
- How do you write the standard form of the hyperbola #9x^2-4y^2-90x+32y-163=0#?
- How do you write the standard form of the hyperbola #-16x^2+9y^2+32x+144y-16=0#?
- How do you write the standard form of the hyperbola #-2x^2+3y^2+4x-60y+268=0#?
- How do you write the equation for a hyperbola given vertices (-5,0) and (5,0), conjugate axis of lengths 12 units?
- How do you write the equation for a hyperbola given vertices (0,-4) and (0,4), conjugate axis of lengths 14 units?
- How do you write the equation for a hyperbola given vertices (9,-3) and (-5,-3), foci #(2+-sqrt53,-3)#?
- How do you find the equation for a hyperbola centered at the origin with a horizontal transverse axis of lengths 8 units and a conjugate axis of lengths 6 units?
- How do you find the equation for a hyperbola centered at the origin with a vertical transverse axis of lengths 12 units and a conjugate axis of length 4 units?
- How do you find the coordinates of the vertices, foci, and the equation of the asymptotes for the hyperbola #x^2/81-y^2/49=1#?
- How do you find the coordinates of the vertices, foci, and the equation of the asymptotes for the hyperbola #y^2/36-x^2/4=1#?
- How do you find the coordinates of the vertices, foci, and the equation of the asymptotes for the hyperbola #y^2/16-x^2/25=1#?
- How do you find the coordinates of the vertices, foci, and the equation of the asymptotes for the hyperbola #x^2/9-y^2/25=1#?
- How do you find the coordinates of the vertices, foci, and the equation of the asymptotes for the hyperbola #x^2-2y^2=2#?
- How do you find the coordinates of the vertices, foci, and the equation of the asymptotes for the hyperbola #x^2-y^2=4#?
- How do you find the coordinates of the vertices, foci, and the equation of the asymptotes for the hyperbola #y^2=36+4x^2#?
- How do you find the coordinates of the vertices, foci, and the equation of the asymptotes for the hyperbola #(y-4)^2/16-(x+2)^2/9=1#?
- How do you find the coordinates of the vertices, foci, and the equation of the asymptotes for the hyperbola #(y-3)^2/25-(x-2)^2/16=1#?
- How do you find the coordinates of the vertices, foci, and the equation of the asymptotes for the hyperbola #(x+1)^2/4-(y+3)^2/9=1#?
- How do you find the coordinates of the vertices, foci, and the equation of the asymptotes for the hyperbola #(x+6)^2/36-(y+3)^2/9=1#?
- How do you find the coordinates of the vertices, foci, and the equation of the asymptotes for the hyperbola #y^2-3x^2+6y+6x-18=0#?
- How do you find the coordinates of the vertices, foci, and the equation of the asymptotes for the hyperbola #4x^2-25y^2-8x-96=0#?
- For f(x, y)=x-y, how do you prove that the equation #f(x, y)= x f(y,x)# represents a hyperbola? find its asymptotes?
- How do you find the standard form of the equation of the hyperbola given the properties vertex (0,1), vertex (8,1), focus (-3,1)?
- How do you find the standard form of the equation of the hyperbola given the properties foci #(+-5,0)#, length of the conjugate axis 6?
- How do you find the standard form of the equation of the hyperbola given the properties vertices (3,2), (13,2); endpoints of the conjugate axis (8,4), (8,0)?
- How do you find the standard form of the equation of the hyperbola given the properties vertices (-10,5), asymptotes #y=+-1/2(x-6)+5#?
- How do you find the standard form given #x^2-2x-4y-11=0#?
- How do you find the standard form given #x^2+y^2-8x+4y+11=0#?
- How do you find the standard form given #9x^2+4y^2-36x+24y+36=0#?
- How do you find the standard form given #9x^2-4y^2-36x-24y-36=0#?
- How do you find the standard form given #y^2+8y-4x+16=0#?
- How do you find the standard form given #4x^2+y^2-8x+4=0#?
- How do you find the standard form given #4x^2+9y^2-8x+54y+49=0#?
- How do you find the standard form given #x^2+y^2-6x+4y+14=0#?
- How do you find the standard form given #2x^2+4y^2+12x-8y+25=0#?
- How do you find the standard form given #4x^2-5y^2-40x-20y+160=0#?