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0. Review of Algebra4h 16m
1. Equations & Inequalities3h 18m
2. Graphs of Equations1h 31m
3. Functions2h 17m
4. Polynomial Functions1h 44m
5. Rational Functions1h 23m
6. Exponential & Logarithmic Functions2h 28m
7. Systems of Equations & Matrices4h 6m
8. Conic Sections2h 23m
9. Sequences, Series, & Induction1h 19m
10. Combinatorics & Probability1h 45m

3. Functions

Transformations

College Algebra3. FunctionsTransformations

2:33 minutes

Problem 66b

Textbook Question

Textbook Question

In Exercises 53-66, begin by graphing the standard quadratic function, f(x) = x². Then use transformations of this graph to graph the given function. h(x) = -2(x+2)²+1

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Shifts of Functions

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Graphs of Shifted & Reflected Functions Example 1

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Stretches & Shrinks of Functions

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Stretches & Shrinks of Functions Example 1

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Domain & Range of Transformed Functions

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Format for Vertical Shifts of Graphs of Functions

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Vertical Shift of a Graph

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Horizontal Shift of a Graph

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Format for Horizontal Shifts of Graphs of Functions

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M8: Reflection Across the y-Axis

M8: Reflection Across the y-Axis

Format for Reflection of Function Graphs Across the y-Axis

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Reflection Across the x-Axis

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Format for Reflection of Function Graphs Across the x-Axis

Format for Reflection of Function Graphs Across the x-Axis

Vertical Stretch or Compression of the Graph of a Function

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Format for the Vertical Stretch or Compression of the Graphs of Functions

Format for the Vertical Stretch or Compression of the Graphs of Functions

Format for the Vertical Stretch or Compression of the Graphs of Functions

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Horizontal Stretch or Compression of the Graph of a Function

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Combined Shifting of a Function

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Write an Equation From a Description of Transformations

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Applying Combinations of Transformations

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Perform Transformations on a Given Graph

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