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Section 1.4 Transformations and Operations on Functions

Section 1.4 Transformations and Operations on Functions. Given the graph of the function f(x):. f(x) + c is a VERTICAL SHIFT of f(x) ‘c’ units f(x + c) is a HORIZONTAL SHIFT of f(x)…. If c > 0, graph shifts LEFT If c < 0, graph shifts RIGHT kf(x) results in….

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Section 1.4 Transformations and Operations on Functions

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  1. Section 1.4 Transformations and Operations on Functions

  2. Given the graph of the function f(x): • f(x) + c is a VERTICAL SHIFT of f(x) ‘c’ units • f(x + c) is a HORIZONTAL SHIFT of f(x)…. • If c > 0, graph shifts LEFT • If c < 0, graph shifts RIGHT • kf(x) results in…. • If 0 < k < 1, a vertical compression • If k > 1, a vertical stretch • -f(x) results in a reflection of graph about the x-axis • f(-x) results in a reflection of graph about the y-axis

  3. Given the graph of f(x), graph f(x) + 2:

  4. Given the graph of f(x), graph f(x - 1):

  5. Given the graph of f(x), graph 2f(x) - 1:

  6. Given the graph of f(x) below, graph f(2x)

  7. Given the graph of f(x), graph f(x – 2) + 1

  8. Given the graph of f(x), graph |f(x)| + 1

  9. Given the graph of f(x), graph –f(x) – 2

  10. g(x) f(x)

  11. Composition Functions

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