Day 6 Notes: Reflections and Multiple transformations Name...
Transcript of Day 6 Notes: Reflections and Multiple transformations Name...
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