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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

1:57 minutes

Problem 64b

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) = (1/2) (x − 1)² – 1

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Related Practice

Intro to Transformations

Intro to Transformations

Reflections of Functions

Reflections of Functions

Reflections of Functions Example 1

Reflections of Functions Example 1

Shifts of Functions

Shifts of Functions

Graphs of Shifted & Reflected Functions

Graphs of Shifted & Reflected Functions

Graphs of Shifted & Reflected Functions Example 1

Graphs of Shifted & Reflected Functions Example 1

Stretches & Shrinks of Functions

Stretches & Shrinks of Functions

Stretches & Shrinks of Functions Example 1

Stretches & Shrinks of Functions Example 1

Domain & Range of Transformed Functions

Domain & Range of Transformed Functions

Format for Vertical Shifts of Graphs of Functions

Format for Vertical Shifts of Graphs of Functions

Vertical Shift of a Graph

Vertical Shift of a Graph

Horizontal Shift of a Graph

Horizontal Shift of a Graph

Format for Horizontal Shifts of Graphs of Functions

Format for Horizontal Shifts of Graphs of Functions

M8: Reflection Across the y-Axis

M8: Reflection Across the y-Axis

Format for Reflection of Function Graphs Across the y-Axis

Format for Reflection of Function Graphs Across the y-Axis

Reflection Across the x-Axis

Reflection Across the x-Axis

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

Vertical Stretch or Compression of the Graph of a Function

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

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

Horizontal Stretch or Compression of the Graph of a Function

Horizontal Stretch or Compression of the Graph of a Function

Combined Shifting of a Function

Combined Shifting of a Function

Write an Equation From a Description of Transformations

Write an Equation From a Description of Transformations

Applying Combinations of Transformations

Applying Combinations of Transformations

Perform Transformations on a Given Graph

Perform Transformations on a Given Graph

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