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).

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

To graph absolute value functions, plot two lines for the positive and negative cases that meet at the expression's zero. The graph is v-shaped. To solve absolute value equations, find x values that make the expression inside the absolute value positive or negative the constant.

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. **Unit guides are here!** Power up your classroom with engaging strategies, tools, and activities from Khan Academy’s learning experts.

To shift it to the left and right, we can add or subtract a value inside the absolute value, like this: y=|x–a|. If a is positive, then you will be shifting it to the left, i.e, you will make it more negative.

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).

To graph absolute value functions, plot two lines for the positive and negative cases that meet at the expression's zero. The graph is v-shaped. To solve absolute value equations, find x values that make the expression inside the absolute value positive or negative the constant.

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

One easy way to think of absolute value is the distance it is from zero. To do that, a number line comes in handy. Watch and learn.

Graph absolute value functions like f(x)=|x+3|+2. Skip to main content If you're seeing this message, it means we're having trouble loading external resources on our website.