• Focus X = -b/2a
• Focus Y = c - (b² - 1)/4a
• Vertex X = -b/2a
• Directrix Y = c - (b² + 1)/4a
• X Intercept = -b/2a ± √(b * b - 4ac)/2a,0

Parabola equation and graph with major axis parallel to y axis. If a>0, parabola is upward, a<0, parabola is downward. If the major axis is parallel to the x axis, interchange x and y during your calculation.

click here for parabola equation solver.

• Area = 2 * h * b;
• Arc Length = sqrt(b² + 16 * h²)/2 + b² * ln((4 * h + sqrt(b² + 16 * h²))/b)/(8*h)