Additional Graphs of Functions Test #5

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In this section, we learn how to find the vertical or horizontal transformation of an elementary function. We will look at the graphs of the
absolute value function, the square root function, the reciprocal function, and the greatest integer function (sometimes called the floor function).
To find the horizontal shift, we examine what’s happening inside of our function. We can say f(x-h), represents a shift to the right by h units, if
h is a positive number. We can also say f(x+h) represents a shift to the left by h units, if h is a positive number. To find the vertical shift, we
think about what is happening outside of our function. When we have a vertical shift up by k units, we see f(x) + k, where k is a positive number.
When we see a vertical shift down by k units, we see f(x) - k, where k is a positive number. In many cases, our function will have both a vertical
and horizontal shift.

Additional Graphs of Functions Resources:

Videos:

Khan Academy - Video
Krista King - YouTube - Video
Prof Rob Bob - YouTube - Video
Text Lessons:

Math is Fun - Text Lesson
Math Planet - Text Lesson
Soft Schools - Text Lesson
Worksheets:

Kuta - Worksheet
Khan Academy - Practice
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