PARABOLA
ENTER DATA
Coefficient of  x, a 0   a:
Coefficient of  x   b:
Constant = y-intercept   c:
x1:
(x2 > x1)    x2:

Parabola as entered
[Critical Points]
[Roots]
Vertex moved to (0,0)
[Focus-Directrix Data]
[Tangent at (x2, y2)]
[Normal at (x2, y2)]
Region of Parabola:
[to x-axis]
[to Line through (x2, y2)]
[Chord (x1, y1)-(x2, y2)]
PARABOLA DATA
y = a(x - p) 2 + q
Vertex at (p,q)

[INDEX]      [ENTER DATA]
x1: y1:
x2: y2:
a =
Axis of Symmetry   p =
q =
y-intercept =
Roots

[INDEX]      [ENTER DATA]
+ i
+ i
Equivalent parabola: y = ax 2
Vertex at (0,0)
[INDEX]      [ENTER DATA]
x1: y1:
x2: y2:
Focus-Directrix Data
r = k (1 - sin θ)
Origin at Focus

[INDEX]      [ENTER DATA]
Directrix =
Focus =
Focus to Directrix   k =
Focus to (x2, y2)   r =
Angle to x-axis   θ =
Tangent at (x2, y2)
[INDEX]      [ENTER DATA]
Slope =
*Angle to x-axis =
x-intercept =
y-intercept =
* Equals the value of Parametric angle φ at
specified (x, y) for calculation of Arc length
Normal at (x2, y2)
[INDEX]      [ENTER DATA]
Slope =
Angle to x-axis =
x-intercept =
y-intercept =
Parabola to x-axis
Vertical Elements
Scope: First Quadrant, 0 x1 x2

[INDEX]      [ENTER DATA]
A =
A x-axis =
=
A y-axis =
x =
I x-axis =
I y-axis =
Neutral axis || to x-axis I =
Neutral axis || to y-axis I =
Parabola to Line through (x2, y2)
Vertical Elements
Scope: First Quadrant, 0 x1 x2

[INDEX]      [ENTER DATA]
A =
A x-axis =
=
A y-axis =
x =
I x-axis =
I y-axis =
Neutral axis || to x-axis I =
Neutral axis || to y-axis I =
Parabola bounded by Chord
Vertical Elements
Scope: First Quadrant, 0 x1 x2

[INDEX]      [ENTER DATA]
A =
A x-axis =
=
A y-axis =
x =
I x-axis =
I y-axis =
Neutral axis || to x-axis I =
Neutral axis || to y-axis I =
Arc Length =
Chord =
Secant Slope =
Secant θ to x-axis =
Secant y-intercept =
[INDEX]      [ENTER DATA]

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