Chapter 19 Proportions and graphs

# 19.7 Reflecting and Stretching Graphs of Functions

A function can be reflected about an axis by multiplying by negative one. To reflect about the y-axis, multiply every x by -1 to get -x. To reflect about the x-axis, multiply f(x) by -1 to get -f(x). In this section, we learn about sketch a function and then use a translation on it, transforming trigonometric graphs, transform cosine function by simple stretches (Reflection).

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A function can be reflected about an axis by multiplying by negative one. To reflect about the y-axis, multiply every x by -1 to get -x. To reflect about the x-axis, multiply f(x) by -1 to get -f(x).Â In this section, we learn about sketch a function and then use a translation on it, transforming trigonometric graphs, transform cosine function by simple stretches (Reflection).

Understanding the effect stretching a curve parallel to one of the axes has on its function form. Understanding the effect reflecting a curve in one of the axes has on its function form.

Reflecting and Stretching Graphs of Functions - Sketch a Function , Translation , Transforming Trigonometric Graphs, Transform Cosine Function by simple stretches, reflection.