Transformations of Functions

Front

Which transformation maps the graph of
f(x) = x² to the graph of g(x) = (x + 4)²? Options: a translation shifting f(x) 4 units up, a translation shifting f(x) 4 units down, a translation shifting f(x) 4 units to the left, a translation shifting f(x) 4 units to the right

Back

a translation shifting f(x) 4 units to the left

Front

Transformation of f(x) = x² to 2⋅f(x)?

Back

Vertical Stretch by a factor of 2

Front

Transformation of f(x) = x² to 1/2⋅f(x)?

Back

Vertical Compression by a factor of 1/2

Front

Transformation of f(x) = x² to f(x) + 2

Back

Vertical translation up by 2 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 = - f(x).

Back

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

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.

Front

Describe the transformation of y = g(x) for the function
y = 3g(x - 3) + 5

Back

Shifted up 5 units
Shifted right 3 units
Stretched vertically by a factor of 3

Front

Identify the transformation from the graph of f(x)=x² to the graph g(x)= x² - 5. Options: shifted up five units, shifted down five units, shifted left five units, shifted right five units.

Back

shifted down five units

Front

Which equation describes the transformation of shifting f(x)=x³ four units down? Options: x³+ 4, x³- 4, (x - 4)³, (x + 4)³

Back

x³- 4