According to Dictionary.com, the word "quadratic" is derived from the Latin word "quadratus" and means "square." In math, a quadratic refers to a polynomial where the highest degree of the term is two, which means the largest term in the polynomial is squared or raised to the second power.
One well-known application of quadratics is the quadratic formula. It is used to determine the roots of a quadratic equation. The roots can be thought of as the places where the quadratic equation equals zero and can be either real or complex numbers.
When graphed on a coordinate plane, a quadratic will take the shape of a parabola.
Learn MoreThe domain for a function is all of the acceptable values for x where the y value is both a real and a defined number. All values of x are acceptable for a quadratic equation, and therefore the domain is all real numbers.
Full Answer >To find the vertex of a quadratic equation, determine the coefficients of the equation, then use the vertex x-coordinate formula to find the value of x at the vertex. Once the x-coordinate is found, plug it into the original equation to find the y-coordinate.
Full Answer >The simplest way to graph a quadratic equation is to substitute an array of values for x in the equation and solve for y in each case to obtain several (x,y) coordinates. After obtaining the coordinates, they can be plotted on graph paper along the x-y axis to form a parabolic curve that is typical of a quadratic equation.
Full Answer >To solve a quadratic inequality, find the coordinates where the graph crosses the x axis, and determine the direction for the parabola. Complete the parabola through the points and shade the appropriate points to express the solution graphically.
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