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Horizontal Shift and Reflection Combined

Algebra · Algebra1 · Big Ideas Math · Ron Larson · - Graphing Linear Functions · Chapter 3-

Course: Algebra Book: Algebra1 · Big Ideas Math · Ron Larson · - Graphing Linear Functions Chapter: Chapter 3-

Question

Start with the parent function $f(x) = x$. First shift the graph 3 units to the right, then reflect it across the x-axis to create function $h(x)$. Write the equation for $h(x)$. Verify your equation by testing the point where the original function crosses the y-axis and where the transformed function crosses the y-axis.

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