Quadratic Function to Standard Form Converter

Transform quadratic equations from general form ax² + bx + c into standard form a(x-h)² + k. Visualize the parabola and understand its vertex.

Coefficient of x² (a):

Coefficient of x (b):

Constant term (c):

Standard Form:

f(x) = (x - )² +

Parabola Visualization:

Understanding Quadratic Functions

A quadratic function is a polynomial function of degree two, generally written in the form f(x) = ax² + bx + c. The standard form, f(x) = a(x-h)² + k, reveals the vertex of the parabola at (h, k). This form is useful for quickly identifying the vertex and understanding transformations of the basic parabola y = x². The vertex represents the minimum or maximum point of the parabola, crucial in optimization problems and graphing. This tool helps convert between these forms, aiding in analysis and visualization.