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gptkbp:instanceOf
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gptkb:mathematical_concept
gptkb:Conic_section
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gptkbp:accessibleBy
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gptkb:right
gptkb:Upward
Left
Downward
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gptkbp:definedIn
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Set of all points equidistant from a fixed point (focus) and a fixed line (directrix)
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gptkbp:discriminantOfQuadratic
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b^2 - 4ac = 0 (for one real root, vertex on x-axis)
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gptkbp:eccentricity
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1
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gptkbp:focusesOn
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(h, k + 1/(4a)) for y = a(x-h)^2 + k
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gptkbp:hasApplication
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gptkb:Reflecting_telescopes
Car headlights
Projectile motion
Satellite dishes
Suspension bridge cables
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gptkbp:hasAxisOfSymmetry
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x = -b/(2a)
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gptkbp:hasDirectrix
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y = k - 1/(4a) for y = a(x-h)^2 + k
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gptkbp:hasLatusRectum
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4a for y = ax^2
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gptkbp:hasReflectiveProperty
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Rays parallel to axis reflect through focus
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gptkbp:hasSpecialCase
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Ellipse with one focus at infinity
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gptkbp:hasStandardEquation
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y = ax^2 + bx + c
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gptkbp:hasVertex
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(-b/(2a), f(-b/(2a)))
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gptkbp:hasVertexForm
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y = a(x-h)^2 + k
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gptkbp:isGraphOf
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gptkb:Quadratic_function
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gptkbp:symmetry
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Axis of symmetry
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gptkbp:bfsParent
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gptkb:John_Tejada
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gptkbp:bfsLayer
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8
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https://www.w3.org/2000/01/rdf-schema#label
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Parabolas
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