Explore math with our beautiful, free online graphing calculator. Graph functions, plot points, visualize algebraic equations, add sliders, animate graphs, and more.

We can graph the functions by applying transformations on the graphs of the parent functions. Here are the parent functions of a few important types of functions.

Sketch the graph of a function that has been shifted, stretched, or reflected from its initial graph position. We have studied the general characteristics of functions, so now let’s examine some …

Jul 23, 2025 · Graphs of functions are visual representations of how one quantity depends on another. In simple terms, a graph shows the relationship between two variables: one variable …

In this unit, we’ll explore how features like symmetry, discontinuities, and intervals reveal deeper insights into function behavior. You'll learn to interpret and analyze a wide variety of graphs, …

Nov 16, 2022 · In this section we discuss graphing functions including several examples of graphing piecewise functions.

Graphing functions is a foundational skill in algebra and beyond. Whether you’re analyzing real-world relationships, solving systems of equations, or preparing for calculus, understanding …

While linear and quadratic functions are easy to graph, more complex functions require more advanced techniques, such as applying transformations. By using the 3 step approach …

Free tutorials on graphing functions, with examples, detailed solutions and matched problems are presented. The properties of the graphs of linear, quadratic, rational, trigonometric, arcsin (x), …

Aug 24, 2022 · In this section, we will dig into the graphs of functions that have been defined using an equation. Our first task is to work backwards from what we did at the end of the last …