Transformations of functions

Front

If the blue graph is f(x) (the original function) and the red graph is the transformation, what is the equation of the red graph?

Back

-f(x)

Front

Identify the transformations: horizontal shift to the left 2 and vertical stretch by a factor of 3, horizontal shift to the right 2 and vertical stretch by a factor of 3, horizontal shift to the right 2 and vertical shrink by a factor of 3, horizontal shift to the left 2 and vertical shrink by a factor of 3.

Back

horizontal shift to the right 2 and vertical stretch by a factor of 3

Front

Describe the transformations that map
y = g(x) to y = - g(x + 6) - 10

Back

Reflect over x-axis
Shifted down 10 units
Shifted left 6 units

Front

If the blue function is f(x)=√x, the red function must be

Back

g(x)=-√x

Front

Describe the transformation to f(x) that results in g(x)=f(x-1)-5.

Back

f(x) has been translated to the right one and down five.

Front

Describe the transformation of y = f(x) for the new function y = f(x) + 5.

Back

The graph of y = f(x) was shifted up 5 units.

Front

Describe the transformation of y = f(x) for the new function y = f(x) - 5.

Back

The graph of y = f(x) was shifted down 5 units.

Front

Describe the transformation of y = f(x) for the new function y = 5f(x)

Back

The graph of y = f(x) was stretched vertically by a factor of 5

Front

Describe the transformation of y = f(x) for the new function y = 1/5f(x)

Back

The graph of y = f(x) was compressed vertically by a factor of 1/5

Front

Describe the transformation of y = f(x) for the new function y = f(-x).

Back

The graph of y = f(x) was flipped horizontally across the y axis.