Day 6 Notes: Reflections and Multiple transformations

Name the six parent functions. Draw each parent function (be sure to use critical values).

1) 2) 3)

4) 5) 6)

Transformation REMINDERS:

Horizontal (With x’s) Transformations Vertical (with y’s) Transformations

Let’s look at the difference: y = x to y = x

Now let’s look at: y = x to y = x

For the following: Describe the transformation, and then sketch a quick graph of what the transformed

graph would like.

a. y = -(x - 3)2 b. | 3 | y x c. 3

4 y x

a. y = 3 x b. | 3| 2 y x c. 3

y x

x y = x y = x

0

1

4

9

x y = x x y = x

0

1

4

9

Hint: Pick x values here that would

work well for the second function!

Multiple transformations

Describe the transformation of the parent function in each of the following and graph:

1) 2 2y x 2.

2

13

2

y x

3. 2y x

d. y = 5|x|–1 e. y = –4x2 + 5 f. y =

18

2x

4) 4 3y x 5) 21( 4)

2

y x 6) 2y x

7) 3y x 8) 3

(4 )y x 9) 31( 5)

5

y x