# 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 and write the function in vertex form.

^{2}+ bx + c

__Vertex of the graph of a Parabola__

The vertex of the graph of a parabola is the maximum or minimum point of the graph. This online calculator uses the formulas
h = - b / 2a

and

k = f(h)

to find the x and y coordinates h and k,respectively, of the vertex of a parabola .

__x and y intercepts of the graph of a Parabola__

To find the x intercepts, the calculator solves the quadratic equation ax ^{2}+ bx + c = 0 using the quadratic formulas:

x1 = (- b + √Δ) / (2 a)

x2 = (- b - √Δ) / (2 a)

where Δ = b

^{2}- 4 a c is the discriminant.

The y intercept if given by f(0) = c.

## Use of Calculator to Find Vertex and Intercepts of Quadratic Functions

1 - Enter the coefficients a, b, c as real numbers and the number decimal places as an integer and press "Solve". The coordinates of the x and y 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 x and y coordinates of the vertex and the vertex form of the function are also displayed at the bottom.## Vertex Form

### More References and links

Vertex and Intercepts Parabola Problemsquadratic function

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