Category: Functions and graphs

A quadratic equation can be written in different forms forms: standard, factored, and vertex, each revealing different properties and solutions. Constants a, b, c affect the graph’s shape and position, while r1, r2, and h, k relate to roots and vertex coordinates.

In mathematics, equations like as linear, quadratic, and cubic describe relationships between variables. Quadratic equations have x squared as the highest power. Graphs help us visualize these relationships, and with given x values, y can be determined.

Inequalities use greater than or smaller than signs not an equals sign. How can we solve the equation to determine this range of values?

In quadratic equations, we commonly find the x-intercepts. These values tell us where the graph cuts the x-axis. It is possible to determine what roots the function will have without drawing a graph or solving the equation by using the discriminant.