Worksheet focused on exponential transformations, including describing changes to functions like y = 2^x and y = 5^x, graphing, and writing equations based on shifts and stretches.

1a) Vertical shift down by 2 units.
1b) Horizontal shift left by 3 units.
1c) Horizontal compression by a factor of 2 (since 4^x = (2^2)^x = 2^(2x)).
1d) Horizontal shift right by 1 unit, vertical stretch by a factor of 3, and vertical shift up by 1 unit.

3a) y = 5^x - 3
3b) y = 5^(x-2)
3c) y = 5^(x + 1/2)
3d) y = 5^(x + 2.5) + 1

4a) f(x) = - (1/3)^x
4b) f(x) = 3 * (1/3)^x
4c) f(x) = (1/3)^(x/2.4)
4d) f(x) = 4 * (1/3)^(-x)

5a) Shift key point (0,1) to (3,3), asymptote y=2.
5b) Reflect key point (0,1) over x-axis to (0,-1), asymptote y=0.
5c) Vertically compress key point (0,1) to (0,0.5), then shift down 3 to (0,-2.5), asymptote y=-3.
5d) Reflect key point (0,1) over y-axis and horizontally compress by factor of 2, so (0,1) stays (0,1), asymptote y=0.