Transformations of functions: Vertical translations - Relations and Functions
Transformations of functions: Vertical translations
Vertical translations refer to movements of a graph of a function vertically along the y-axis by changing the y values. So, if y = f(x), then y = (x) + h results in a vertical shift. If h > 0, then the graph shifts h units up; while If h < 0, then the graph shifts h units down.
Lessons
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a)
Sketch all three quadratic functions on the same set of coordinate axes.
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b)
Compared to the graph of :
• the graph of is translated "vertically" ________ units _____________.
• the graph of is translated "vertically" ________ units _____________.
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a)
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b)
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c)
In conclusion:
• : shift ________ units ______________ all coordinates _____________________________.
• : shift ________ units ______________ all coordinates _____________________________.
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