Question

Write an equation for a function that has a graph with the given characteristics. The parent function is y = ×2 has been shifted 2.5 units to the left, the stretched vertically by a factor of 3, and then reflected across the x-axis.

Answer 1

Answer: The parent function y = 2^x has been transformed as follows:

- Shifted 2.5 units to the left: y = 2^(x+2.5)

- Stretched vertically by a factor of 3: y = 3*2^(x+2.5)

- Reflected across the x-axis: y = -3*2^(x+2.5)

Therefore, an equation for the function with the given characteristics is:

y = -3*2^(x+2.5)

Explanation: