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Categorii: Tot - transformations

realizată de Umasai Sankaramanchi 12 ani în urmă

529

Odd or Even functions

Transformations in functions can be broadly classified into nonrigid and rigid categories. Nonrigid transformations involve changing the shape of the graph, such as vertical stretches and shrinks.

Odd or Even functions

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Transformations

Rigid transformations

Reflections

Reflection in the y-axis: h(x) = f(-x)

Reflection in the x-axis: h(x) = -f(x)

Reflection on x-axis

Vertical and Horizontal shifts c= posotive real number

Horizontal shift c units to the left: h(x) = F(x+c)

Horizontal shift

Horizontal shift c units to the right: h(x) = F(x-c)

Vertical shift c untis downward: h(x) = f(x) - c

Vertical Shift

Vertical shift c units upward: h(x) = f(x) + c

Nonrigid transformations on Y = f(x) looks like

g(x) = cf(x)

Vertical shrink if 0 < c < 1

Vertical stretch if c > 1

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