Question

Question 1: describe the transformations that map the function y=2^x onto the following function: y=2^x -2

1.Translate right 2 units
2.Translate left 2 units
3.Translate down 2 units
4.Translate up 2 units

Answer 1

Remember that a a translation is a type of transformation in which you shift the graph of a function horizontally or vertically. Adding to the output of a function moves the graph up; whereas, subtracting from it moves the graph down. Since you are subtracting 2 to the output of the graph
`y=2^(x)`, you are moving the graph of
`y=2^(x)` tow units up.

Therefore, the correct answer is: 4.Translate down 2 units.