Transformations, Compositions, and Inverses

Describe the transformations necessary to transform the graph of f(x) (solid line) into that of g(x) (dashed line).

• reflect over the y-axis and translate right 3 units
• reflect across the x-axis translate left 3 units
• reflect over the x- axis and translate down 3 units
• reflect of the y-axis and translate left 3 units

Describe the transformations necessary to transform the graph of f(x) (solid line) into that of g(x) (dashed line).

• compress vertically by a factor of 2
• compress horizontally by a factor of 1, translate up 2 units
• compress vertically by a factor of 2, translate left 2
• compress vertically by a factor of 2, translate up 3 units

Describe the transformations necessary to transform the graph of f(x) into that of g(x).

• expand vertically by a factor of 3, reflect across the x-axis, translate down 1 unit
• expand vertically a by a factor of 3, reflect across the y-axis, up 1 unit
• expand vertically by a factor of 1, reflect across the x-axis, translate down 3
• expand vertically by a factor of 3, reflect across the y-axis, down 1 unit

Tags

CCSS.HSF.BF.B.3

Describe the transformations necessary to transform the graph of f(x) into that of g(x).

• expand vertically by a factor of 3 translate right 1 unit
• up 3 translate left 1 unit
• expand vertically by a factor of 3 translate left 1 unit
• up 3 translate right 1 unit

Tags

CCSS.HSF.BF.B.3

Transform the given function f(x) as described and write the resulting function as an equation.

• g(x) = x² - 3
• g(x) = 3x² - 3
• g(x) = 3(x - 3)²
• g(x) = 3(x + 3)²

Transform the given function f(x) as described and write the resulting function as an equation.

• g(x) = 2/(x + 3)
• g(x) = 1/(2(x - 3))
• g(x) = 1/(2(x + 3))
• g(x) = 1/(2x+ 3)

Tags

CCSS.HSF.BF.B.3

Transform the given function f(x) as described and write the resulting function as an equation.

• g(x) = |(1/2)(x-1)| + 3
• g(x) = |(1/2)(x + 1)| + 3
• g(x) = |2(x-1)| + 3
• g(x) = |2(x +1)| - 3

Transform the given function f(x) as described and write the resulting function as an equation.

• g(x) = (1/3)√(-x + 2) - 3
• g(x) = (1/3)√(x + 2) - 3
• g(x) = (1/3)√(-x + 2) + 3
• g(x) = -(1/3)√(x - 2) - 3

Tags

CCSS.HSF.BF.B.3

Write g(x) (dashed line) in terms of f(x) (solid line).

• g(x) = -f(3(x - 2))
• g(x) = -f((3x + 6))
• g(x) = -f(3(x + 2))
• g(x) = f(3(-x + 2))

Tags

CCSS.HSF.BF.B.3

Write g(x) (dashed line) in terms of f(x) (solid line).

• g(x) = f((1/2)x) - 1
• g(x) = f(2x) - 1
• g(x) = f((1/2)x) + 1
• g(x) = f(2x) + 1