Find Vertex and Intercepts of Quadratic Functions - Calculator



An easy to use calculator to find the vertex, x and y intercepts of the graph of a quadratic function of the form

f(x) = ax2 + bx + c

This online calculator uses the formula h = -b / 2a to find the x coordinate h of the vertex of a parabola and k = f(h) to find the y coordinate k of the vertex. To find the x intercepts, it solves the quadratic equation ax2 + bx + c = 0. The y intercept if given by f(0).

How to use the calculator 1 - Enter the coefficients a, b, c and the number of decimal places as real number and press "enter". The x coordinates of the x intercepts are displayed. If the two coordinates are equal, the graph touches the x axis and the two x intercepts have equal x coordinates. The x intercepts may not exist. The y coordinate of the y intercept is also displayed. The x and y coordinates of the vertex are also displayed at the bottom.

Quadratic function of the form f(x) = a x 2 + b x + c
a = b = c =
Decimal Places =
x-intercept (1) = ( , )

x-intercep(2) = ( , )

y-intercept = ( , )

vertex = ( , )
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Updated: February 2015

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