Section 1.4 Transformations and Operations on Functions.

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Presentation transcript:

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…. 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

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

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

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

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

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

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

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

f(x) g(x)

Composition Functions