Vertical stretch and translation - order matters
See why an outside multiplier can also multiply a previous translation.
- A vertical stretch multiplies every current
-coordinate. - If you have already translated vertically, the translation is multiplied too. Use brackets around the whole current output.
Example 1
Stretch, then translate
Stretch vertically by scale factor 3, then translate 2 up.
1.Stretch parallel to the
-axis by scale factor . 2.Translate by
.
The result is
Example 2
Translate, then stretch
Translate 2 up, then stretch vertically by scale factor 3.
1.Translate by
. 2.Stretch parallel to the
-axis by scale factor .
The result is
Remember
An operation on the output applies to every term in that output.
Your turn
5 practice questions0 of 5 answers checked
Starting with
Check answer
Apply every new operation to the whole current graph. A stretch or reflection also changes any translation already made in that direction.
Starting with
Check answer
Apply every new operation to the whole current graph. A stretch or reflection also changes any translation already made in that direction.
Starting with
Check answer
Apply every new operation to the whole current graph. A stretch or reflection also changes any translation already made in that direction.
Starting with
Check answer
Apply every new operation to the whole current graph. A stretch or reflection also changes any translation already made in that direction.
Starting with
Check answer
Apply every new operation to the whole current graph. A stretch or reflection also changes any translation already made in that direction.
Starting with
Apply every new operation to the whole current graph. A stretch or reflection also changes any translation already made in that direction.
Starting with
Apply every new operation to the whole current graph. A stretch or reflection also changes any translation already made in that direction.
Starting with
Apply every new operation to the whole current graph. A stretch or reflection also changes any translation already made in that direction.
Starting with
Apply every new operation to the whole current graph. A stretch or reflection also changes any translation already made in that direction.
Starting with
Apply every new operation to the whole current graph. A stretch or reflection also changes any translation already made in that direction.