Combining Transformations and the General Form Worksheet with Answer Key

What's on the worksheet

1. Write each rule in the form with a, b, h and k, and name the parent graph.
   y = \dfrac{3}{x - 1} + 8y = (2x + 10)^3 - 4y = 6 - \sqrt{3 - x}y = -\dfrac{1}{2}\sqrt{4x + 12}
2. Solve an equation built from a transformed function whose one known value is given.
3. Ryan shifts y = x^2 right and compresses it horizontally: write his rule and describe the graph.
4. Check Naomi's description of two moves on g(x) = 3\,f(x) - 12 and follow a point through them.
5. Write a reciprocal rule in general form, list the moves in order and carry the parent's points through.
6. Word problem: Elena's weather station temperatures and a transformed temperature function.