Transformations of Functions Compressed

Which transformation will occur if f(x) = x² is replaced with 2⋅f(x)?

• Vertical Compression by a factor of 2

• Vertical Stretch by a factor of 2

• Vertical translation up by 2 units.

• Reflection across the x-axis.

Which transformation will occur if f(x) = x² is replaced with 1/2⋅f(x)?

• Vertical Compression by a factor of 1/2

• Vertical Stretch by a factor of 1/2

• Vertical translation up by 2 units.

• Reflection across the x-axis.

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

If the graph of the parent function f(x) = x is shifted 7 units up and is horizontally compressed by a factor of 3, what is the function?

• g(x) = f(7x) + 3

• g(x) = 3f(x) - 7

• g(x) = f(3x) + 7

• g(x) = 7x - 3

Describe the transformation that occurred

h(x) = 1/5f(x)

• Up 5 Units

• vertical compression (wider)

• vertical stretch (narrower)

• Down 5 Units

• g(x)= 14x + 4

• g(x)= 14x + 2

• g(x)= 3.5x + 1

• g(x)= 3.5x + 2

• g(x)= - 80x + 112

• g(x)= - 5x + 28

• g(x)= - 80x + 28

• g(x)= - 5x + 7

horizontal compression

• g(x) = 3f(x)

• g(x) = ½f(x)

• g(x) = f(¼x)

• g(x) = f(5x)