This topic covers: - Solving absolute value equations - Graphing absolute value functions - Solving absolute value inequalities

The general form of an absolute value function is f (x)=a|x-h|+k. From this form, we can draw graphs. This article reviews how to draw the graphs of absolute value functions.

To solve absolute value equations, find x values that make the expression inside the absolute value positive or negative the constant. To graph absolute value functions, plot two lines for the positive …

Graphs of absolute value functions Learn Shifting absolute value graphs Scaling & reflecting absolute value functions: equation

What is absolute value? Absolute value is a function that outputs the distance of any input from 0 on the number line. We often write the absolute value of a number with vertical bars on either side, like | x | .

This lesson introduces the absolute value function and shows how to rewrite it as a piecewise function.

We can graph any absolute value equation of the form y=k|x-a|+h by thinking about function transformations (horizontal shifts, vertical shifts, reflections, and scalings).

An absolute function looks like this: y=|x|. When graphed, it looks like a big “V” or an upside down “V”. Right now, in just y=|x|, the graph is opening upwards, i.e, it is a “V”, and is centered at the origin, …

Piecewise functions piece together different functions. Absolute value graphs make a V shape, but why do they do that? Let's explore how to make some new and interesting types of graphs.

Course: Algebra 1 > Unit 10 Lesson 1: Graphs of absolute value functions Shifting absolute value graphs Shift absolute value graphs Scaling & reflecting absolute value functions: equation