Parabola Functions Calculator
- ++Validations++: not available, removed 'if(a==0;"a cannot be 0 in quadratic equation";"")'
y = ax² + bx + c
a (ax²) =
b (bx) =
y(x) = a (x-x1) (x-x2) = 0
Vertex: min(a>0) / max(a<0) =
slope at x =
y = a(x-h)² + k
A parabola is described by a 2nd-order equation (quadratic equation).
Rows 1-3: a,b,and c are the numerical coefficients in a 2nd-order equation.
y= a*x² + b*x + c
Note: a MUST be non-zero.
Row 4: x is the x-axis value for which some quantities (such as slope "m" at x) are calculated.
x1 and x2 are the two roots of the equation, and may be real or imaginary; if imaginary, they will be complex conjugates.
xmin (for a>0) and xmax (for a<0) are the (x;y) values for the curve's inflection point (the 'bottom' of an upward-facing 'U', in the case of a minimum, for example).
Contributed by Richard Pabst.
slope at x