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Home > CALC > Chapter 1 > Lesson 1.4.3 > Problem 1-170


Use a parabola and absolute value function to find a piecewise defined function that will produce the graph shown below:

Vertex form of a parabola: , where is the vertex. Absolute value:

Solve for by evaluating both equations at .

Because the function for this graph is piecewise, there is an -coordinate / boundary point where each function ceases to defined.