Copy of Linear Translations
Function Transformations: Exploring Vertical and Horizontal Shifts of a Linear Function
Round 1
Shift your function right, any number of units (without moving up or down), and then record the new values for the x- and y-coordinates of the plotted points for your given function.
Compare the new ordered pairs to the values of the original function -
- How many units to the right did you shift the function? __________
- Which values changed, the x- or y-coordinates? How? _____________________________________________
- How many units to the left did you shift the function? __________
- Which values changed, the x- or y-coordinates? How? _____________________________________________
- Shifting the function right - ____________
- Shifting the function left - ____________
- How many units up did you shift the function? __________
- Which values changed, the x- or y-coordinates? How? _____________________________________________
- How many units down did you shift the function? __________
- Which values changed, the x- or y-coordinates? How? _____________________________________________
- Shifting the function up - ____________
- Shifting the function down - ____________
- How many units to the right or left (circle one) did you shift the function? __________
- How many units to the up or down (circle one) did you shift the function? __________
- What happens to the value of the x-coordinates? _____________________________________________
- What happens to the value of the y-coordinates? _____________________________________________
- A horizontal shift of m units on a function, results in the following function notation - ___________________
- A vertical shift of n units on a function, results in the following function notation - ___________________
- A horizontal shift of m units and a vertical shift of n units, results in the following - ___________________