Linear Translations HW 12/18

If you add or subtract a constant from the input how does that affect the graph of a linear function?

• It shifts it vertically (up or down)

• It shifts it horizontally (left or right)

• It stretches the function

• It compresses the funtion

If you add or subtract a constant from the output how does that affect the graph of a linear function?

• It shifts it vertically (up or down)

• It shifts it horizontally (left or right)

• It stretches the function

• It compresses the funtion

What am I doing to the function f(x)?

f(x) ----> f(x + 2)

• Shifting it vertically 2 units up

• Shifting it vertically 2 units down

• Shifting it horizontally 2 units right

• Shifting it horizontally 2 units left

What am I doing to the function f(x)?

f(x) -----> f(x) - 8

• Shifting it vertically 8 units up

• Shifting it vertically 8 units down

• Shifting it horizontally 8 units to the right

• Shifting it horizontally 8 units to the left

Given f(x) = 2x + 3, describe how the graph of g compares with the graph of f when g(x) = 2(x - 5) + 3

• The graph of g is a vertical shift 5 units down

• The graph of g is a horizontal shift 5 units to the left

• The graph of g is a horizontal shift 5 units right

• It does not have any relation

If f(x) = -2x + 7 and g(x) = -2(x + 1) + 5 describe both the vertical and horizontal shifts occurring based on what you have learned about horizontal and vertical shifts.

• It is a vertical shift up 2 and a horizontal shift 1 unit to the right.

• It is a vertical shift up 2 and a horizontal shift 1 unit to the left

• It is a vertical shift down 2 and a horizontal shift 1 unit to the right

• It is a vertical shift down 2 and a horizontal shift 1 unit to the left

What is the difference between a vertical and horizontal shift of a linear function? Use the words input and output in your explanation.