APP description

The parabolic equation refers to the parabolic trajectory equation, which is a method of expressing the parabola with equations.The parabola can be drawn according to the parabolic equation on the geometric plane.The parabola can also be viewed as a quadratic function image under suitable coordinate transformation.

When the apex of the parabolic equation: (h, k), focus: (x1, y1), then the vertex equation of the parabola:

(X-h)² = 4a(Y-k)；  ( a = √(h-x1) * (h-x1) + (k - y1) * (k-y1) )

Standard form of parabolic equation:

Y = (1/4a)X² - (h/2a)X + (k + h²/4a)；( a = √(h-x1) * (h-x1) + (k - y1) * (k-y1) )

Usage example

Vertex: X: 2; Y: 8

Focus: X: 4; Y: 4

Click "Calculate" to output the result

Standard equation: (X +2)^2 = 17.8885(Y +8)

Vertex equation: Y = 0.0559X^2 -0.2236X +8.2236

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