ALG -Unit 2.2 - Function Translations

The table below shows the values of f(x) and g(x). Use the values in the table below to determine the transformations that represent the transformation from f(x) to g(x).

• 3 units up

• 3 units down

• 3 units left

• 3 units right

The graph below shows the graphs of f(x) and g(x). Which description identifies the transformation from f(x) to g(x)?

• Reflects over x-axis 

• Reflects over y-axis 

The graphs of f(x) is shown below. Create a line for g(x) to show g(x) is a transformation of f(x).

f(x) = x                   g(x) = x - 5

• g(x) is perpendicular to f(x)

• g(x) is the same line as f(x)

• g(x) shifted up and is parallel as f(x)

• g(x) shifted down and is parallel as f(x)

Which description identifies the transformation from f(x) to g(x)?

• Reflects over x-axis

• Reflects over y-axis

If g(x) is a transformation of f(x) and g(x) = f (x - 1) + 1, which description That identifies the transformation from f(x) to g(x)?

• 1 unit down, 1 unit right

• 1 unit up, 1 unit right

• 1 unit down, 1 unit left

• 1 unit up, 1 unit left

Identify the function for b(x), a transformation of the parent function  a(x) = |x|.

What are the coordinates of the point after being translated 2 units down and 7 units right?

• (2, 7)

• (-2, 7)

• (2, 4)

• (2, -4)

Write an equation for a translation of the parent function 𝑦 = 𝑥² shifted to the right 3 units and down 4 units.

Write an equation that translation of the parent function 𝑦 = |x| shifted up 5 units and to the left 3 units?

• 7 units up, 2 units down

• 7 units up, 2 units left

• 7 units left, 2 units up

• 7 unit left, 2 units down