Calculators & Converters
    Hyperbola
    (X0,Y0):

    a :

    b :


    F(X,Y) :

    F'(X,Y) :

    Eccentricity :

    Asymptotes H’L :

    Asymptotes L’H :




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    Hyperbola Center, Axis, Eccentricity & Asymptotes Calculator

    getcalc.com's Hyperbola Formulas & Calculator is an online basic geometry tool to calculate center, axis, eccentricity & asymptotes of hyperbola shape or plane, in both US customary & metric (SI) units.

    Steps to Find Center, Axis, Eccentricity & Asymptotes of a Hyperbola

    The step by step workout for how to find what is the center, axis, eccentricity & asymptotes of a hyperbola.workout :
    step 1 Address the formula input parameter and values
    x0 = 5
    y0 = 4
    a = 5
    b = 4

    step 2 Apply x, y, a & b values in F (x, y) formula
    F(x, y) = (x0 + a² + b² , y0)

    = (5 + 5² + 4² , 4)

    = (5 + 25 + 16 , 4)

    = (5 + 41 , 4)

    = (5 + 6.4031 , 4)

    F(x, y)= 11.4031, 4

    step 3 Apply x, y, a and b values in F’ (x, y)
    F’ (x, y) = (x0 - a² + b² , y0)

    = (5 - 5² + 4² , 4)

    = (5 - 25 + 16 , 4)

    = (5 - 41 , 4)

    = (5 - 6.4031 , 4)

    F’ (x, y)= -1.4031, 4

    step 4 Apply a and b values in eccentricity formula
    Eccentricity = a² + b²
    = 5² + 4²
    = 41
    Eccentricity = 6.4031

    step 5 Apply the values a, b, x0, y0 in asymptotes H’L formula
    Asymptotes H’L = b/ax + (y0 - b/ax0)
    = 4/5x + (4 - 4/55)
    = 0.8x + (4 - (0.8 x 5))
    = 0.8x + (4 - (4))
    Asymptotes H’L = 0.8x + 0

    step 6 Apply the values a, b, x0, y0 in asymptotes L’H formula
    Asymptotes L’H = -b/ax + (y0 + b/ax0)
    = 4/5x + (4 + 4/55)
    = -0.8x + (4 - (-0.8 x 5))
    = -0.8x + (4 - (-4))
    Asymptotes L’H = -0.8x + 8

    Definition & Formulas

    Hyperbola is a geometric shape represents the open curve with two symmetrical intersection of cone having same vertexes pointing each other on the same axis.

    hyperbola formulas to calculate center, axis, eccentricity & asymptotes
    Hyperbola formulas to calculate center, axis, eccentricity & asymptotes
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