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Explore math with our beautiful, free online graphing calculator. Graph functions, plot points, visualize algebraic equations, add sliders, animate graphs, and more.
Graph an absolute value function. The most significant feature of the absolute value graph is the corner point at which the graph changes direction. This point is shown at the origin.
Discover how to graph an absolute value function with linear expression. Understand what a 'V' or inverted 'V' shape is and how to find the vertex for the best approximation.
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).
Given the formula for an absolute value function, find the horizontal intercepts of its graph. Isolate the absolute value term. Use \(|A|=B\) to write \(A=B\) or \(−A=B\), assuming \(B>0\).
We'll again touch on systems of equations, inequalities, and functions...but we'll also address exponential and logarithmic functions, logarithms, imaginary and complex numbers, conic sections ...
General Form of Absolute Value Function: f (x) = a | x - h | + k • the vertex is at (h,k) • the axis of symmetry is x = h • the graph has a vertical shift of k • the graph opens up if a > 0, down if a < 0
