Statements (28)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
Conic section |
| gptkbp:accessibleBy |
gptkb:Upward
right Left Downward |
| gptkbp:definedIn |
Set of all points equidistant from a fixed point (focus) and a fixed line (directrix)
|
| gptkbp:discriminantOfQuadratic |
b^2 - 4ac = 0 (for one real root, vertex on x-axis)
|
| gptkbp:eccentricity |
1
|
| gptkbp:focusesOn |
(h, k + 1/(4a)) for y = a(x-h)^2 + k
|
| gptkbp:hasApplication |
gptkb:Reflecting_telescopes
Car headlights Projectile motion Satellite dishes Suspension bridge cables |
| gptkbp:hasAxisOfSymmetry |
x = -b/(2a)
|
| gptkbp:hasDirectrix |
y = k - 1/(4a) for y = a(x-h)^2 + k
|
| gptkbp:hasLatusRectum |
4a for y = ax^2
|
| gptkbp:hasReflectiveProperty |
Rays parallel to axis reflect through focus
|
| gptkbp:hasSpecialCase |
Ellipse with one focus at infinity
|
| gptkbp:hasStandardEquation |
y = ax^2 + bx + c
|
| gptkbp:hasVertex |
(-b/(2a), f(-b/(2a)))
|
| gptkbp:hasVertexForm |
y = a(x-h)^2 + k
|
| https://www.w3.org/2000/01/rdf-schema#label |
Parabolas
|
| gptkbp:isGraphOf |
gptkb:Quadratic_function
|
| gptkbp:symmetry |
Axis of symmetry
|
| gptkbp:bfsParent |
gptkb:John_Tejada
|
| gptkbp:bfsLayer |
8
|