Big Ideas Math Algebra 2, 2014
BI
Big Ideas Math Algebra 2, 2014 View details
2. Transformations of Linear and Absolute Value Functions
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Exercise 41 Page 18

Practice makes perfect
a In order to find the vertical translation of the graph of to the graph of we need to use the vertical translation rule two times. First, we shift the graph of by units.
Now we have to shift the graph of by units.
If we combine both translations, we get the expression for the vertical translation of to
b Again, we want to translate the graph of to the graph of We know that the factor to do so is . However, this time we want to translate horizontally. Let's try it out with the factor of
We see that whatever translating factor we choose will be multiplied by the slope This means that we have to divide our translating factor by to compensate.
Let's see if it works now.
Since we got the right result, is the expression that horizontally translates to