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0. Review of Algebra4h 18m
1. Equations & Inequalities3h 18m
2. Graphs of Equations1h 43m
3. Functions2h 17m
4. Polynomial Functions1h 44m
5. Rational Functions1h 23m
6. Exponential & Logarithmic Functions2h 28m
7. Systems of Equations & Matrices4h 5m
8. Conic Sections2h 23m
9. Sequences, Series, & Induction1h 22m
10. Combinatorics & Probability1h 45m

3. Functions

Transformations

College Algebra

3. Functions

Transformations

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The graph of a function ƒ is shown in the figure. Sketch the graph of each function defined as follows.
(d) y = |ƒ(x)|

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The graph of a function ƒ is shown in the figure. Sketch the graph of each function defined as follows.

(a) y = ƒ(x) +3

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The graph of a function ƒ is shown in the figure. Sketch the graph of each function defined as follows.

(b) y = ƒ(x-2)

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The graph of a function ƒ is shown in the figure. Sketch the graph of each function defined as follows.

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In Exercises 95-106, begin by graphing the standard cubic function, f(x) = x³. Then use transformations of this graph to graph the given function. r(x) = (x − 2)³ +1

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In Exercises 107-118, begin by graphing the cube root function, f(x) = ∛x. Then use transformations of this graph to graph the given function. g(x) = ∛x+2

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In Exercises 107-118, begin by graphing the cube root function, f(x) = ∛x. Then use transformations of this graph to graph the given function. g(x) = ∛(x-2)

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In Exercises 107-118, begin by graphing the cube root function, f(x) = ∛x. Then use transformations of this graph to graph the given function. g(x) = (1/2)∛(x-2)

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In Exercises 107-118, begin by graphing the cube root function, f(x) = ∛x. Then use transformations of this graph to graph the given function. g(x) = (1/2)∛(x+2) - 2

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Struggling with College Algebra?

The graph of a function ƒ is shown in the figure. Sketch the graph of each function defined as follows. (d) y = |ƒ(x)|

Watch next

Transformations practice set

The graph of a function ƒ is shown in the figure. Sketch the graph of each function defined as follows.
(d) y = |ƒ(x)|