CPM Homework Help : CALC Problem 1-170

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

Hint 1:

Vertex form of a parabola: y = a(x − h)² + k, where (h, k) is the vertex. Absolute value: y = a|x − h| + k

Hint 2:

Solve for a by evaluating both equations at (2,7).

Hint 3:

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