Question

The parent function, Rx) = 5*, has been vertically compressed by a factor of one-half, shifted to the left three units and

down two units. Choose the correct function to represent the transformation.

Answer 1

see below

Explanation:

For a vertical scale factor of 'b', and a translation by (h, k) in the (right, up) direction, the transformed function is ...

g(x) = b·f(x -h) +k

For a scale factor of 1/2 and translation left 3 and down 2, the transformed function is ...

g(x) = (1/2)f(x +3) -2

g(x) = (1/2)5^(x +3) =2 . . . . matches the 2nd choice