Pearson Algebra 2 Common Core, 2011
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Pearson Algebra 2 Common Core, 2011 View details
6. Families of Functions
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Exercise 6 Page 103

Consider vertical and horizontal translations, stretches and compressions, and reflections. To draw the graph, choose a point on the parent function and apply the transformations to the point.

Description of Transformation: Vertical stretch by a factor of and vertical translation up by unit.
Graph:

Linear function
Practice makes perfect

To describe and graph the given transformation, let's look at all of the possible transformations. Then we can more clearly identify the transformations being applied to the parent function

Transformations of
Vertical Translations
Vertical Stretch or Compression
Now, using the table, let's highlight the transformations of
We can describe the transformations as vertical stretch by a factor of and a vertical translation up by unit. Since we know the transformations applied to we can draw
Three lines on a coordinate plane. Blue line labeled f(x), orange line representing 2f(x) as a vertical stretch of f(x) by 2, and red line h(x) which is represents f(x) shifted up by 1 unit. Transformations are indicated with arrows and text, and a color-coded legend on the right associates the lines with their respective functions.