Transforming an Exponential Graph Worksheet with Answer Key

What's on the worksheet

1. Give the asymptote, range and y-intercept of each graph.
   y = 4 \cdot 3^{x} - 10y = -2^{x+3} + 1y = 6\left(\dfrac{1}{2}\right)^{x-1} + 2y = 2\left(3^{x} - 4\right)y = -\dfrac{1}{4} \cdot 2^{x+2} - 3
2. Find the shift h from an x-intercept and describe how the graph is moved.
3. Rewrite a horizontal shift as a vertical stretch or compression.
4. Find the asymptote and rule of a graph through three points.
5. Check Jack's reading of the marked points on the graph with its dashed asymptote.
6. Word problem: how much of a Spanish word list Elena recalls over the days.