Use a quadratic function and an absolute value function to write a piecewise-defined function that will produce the graph shown below.. Homework Help ✎
Vertex form of a parabola: y = a(x − h)² + k, where (h, k) is the vertex. Absolute value: y = a|x − h| + k.
Solve for a by evaluating both equations at (2,7).
Because the function for this graph is piecewise, there is an x-coordinate / boundary point where each function ceases to defined