5 Функция, ее свойства и график Приложение 3

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  • 14.05.2020
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f(x) + a

f(x)x a

Stretch by scale factor 1/a along the x axis

af(x)

f(x)+ a

Reflect in the x axis

(graph flips over in a vertical direction)

f(x + a)

f(x)

x  -1

Reflect in the y axis

(graph flips over in a horizontal direction)

f(ax)

x  -1

f(x)

Stretch by scale factor a along the

y axis

-f(x)

+ af(x)

Translate by –a along the x axis

f(-x)

x af(x)

Translate by + a along the y axis

 

Graph Transformation Match Exercise

Once printed these should be cut out.

The object of the exercise is to match each function with a description of the transformation and 3 example graphs.

The function machine representations are provided to help with understanding (and therefore remembering) the effects of the different transformations.