Horizontal stretch and translation - order matters
Compare a stretch followed by a translation with the reverse order.
- Follow the ordered words literally. A later horizontal stretch also stretches any horizontal translation already made.
- The cubic has
-intercepts at −4, 0 and 6. Watch how the two orders move all three intercepts.
Example 1
Stretch, then translate
Stretch horizontally by scale factor 2, then translate 2 left.
1.Stretch parallel to the
-axis by scale factor . 2.Translate by
.
The
Example 2
Translate, then stretch
Translate 2 left, then stretch horizontally by scale factor 2.
1.Translate by
. 2.Stretch parallel to the
-axis by scale factor .
The
Remember
Stretch then translate:
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.