quadratic function

U-shaped graph equation

A quadratic function is a polynomial function of degree two, producing a U-shaped curve called a parabola when graphed.

The standard form is ax² + bx + c, where a is not zero.

Quadratic functions model phenomena like projectile motion and optimization problems: The ball's trajectory follows a quadratic function.

Finding where the parabola crosses the x-axis means solving a quadratic equation.

parabola

vertex

Point where edges converge

minimum · maximum · turning point · symmetrical · U-shape · graphing · x-intercepts · y-intercept · zeros · roots

formula

discriminant

Formula determining root nature

zeros · coefficient · plus or minus · radical · no solution

applications

projectile motion

Parabolic path under gravity

physics · engineering · ballistics · architecture · suspension cables · satellite dishes · solar collectors · bridge arches · acoustics

polynomial

trinomial

Expression with three terms

coefficient · variable · exponent · expression · monomial · polynomial equation

Categories
Opposites
polynomial degree

quadratic functionlinear function

Equation producing straight graph

exponential function · step function · inverse function

Family

quadratic, quadratics, quadrate, quadrant, quadrants, square, squares, squared, squaring

Familiarity
Top 500,000
Profile
Used worldwide · Timeless · Abstract · Rated G