Section 11.2 Notes

Writing the equations of exponential and logarithmic functions given the transformations to a parent function

11.2 Notes:

Review:

Write the equation of if y is

reflected across the x-axis, translated left four units and down three units.

2y x

24 3y x

11.2 Notes – Example 1

Write the equation of if y is

reflected across the x-axis, translated left four units and up nine units.

5xy 5xy 45 9xy

5xy

11.2 Notes – Example 2

Write the equation of if y is

reflected across the y-axis, translated right seven units and down eight units.

5logy x 5logy x 5log 7 8y x

5logy x

5log 7 8y x

11.2 Notes – Example 3

Write the equation of if y is

reflected across both axes and translated left eight units.

1

7

x

y

1

7

x

y

81

7

x

y

1

7

x

y

81

7

x

y

Practice problems:1. Write the equation of reflected across

the x-axis and translated left three units.

2. Write the equation of reflected across the y-axis, translated right one unit and up two units.

3. Write the equation of reflected across the x-axis and translated left five units.

3logy x

2logy x

2xy

32xy

2log 1 2y x

3log 5y x