4/10 ~ 13.4-13.5 ~ Notes 🎮

What happens to the graph of a function when a horizontal shift is applied with a positive value of k?

• The graph moves to the left.

• The graph moves to the right.

• The graph moves up.

• The graph moves down.

Which transformation involves sliding the graph up or down?

• Horizontal shift

• Vertical shift

• Reflection

• Dilation

In a vertical shift, if k is negative, in which direction does the graph move?

• Up

• Down

• Left

• Right

The graphs of 𝑦 = 𝑓(𝑥) and 𝑦 = 𝑔(𝑥) are shown.

Describe how to shift the graph of 𝑓(𝑥) so that it coincides with the graph of 𝑔(𝑥).

• Right 4

• Left 4

• Up 4

• Down 4

The graphs of 𝑦 = 𝑓(𝑥) and 𝑦 = 𝑔(𝑥) are shown.

Complete the statement: the graph of g(x) is a (a)   shift of f(x)

• Horizontal
• vertical
• diagonal
• circular

Complete the table. The first row has been completed.

a

b

c

d

e

f

Tags

CCSS.HSF.BF.B.3

The graphs of 𝑦 = 𝑓(𝑥) and 𝑦 = 𝑔(𝑥) are shown.

How does the graph of 𝑓(𝑥) compare to the graph of 𝑔(𝑥)?

• f(x) is g(x) shifted down by 2 units.
• f(x) is g(x) reflected over the x-axis.
• The graph of 𝑓(𝑥) is 3 units to the left of 𝑔(𝑥).

• The graph of 𝑓(𝑥) is 3 units to the right of 𝑔(𝑥).

Two function descriptions are shown. Which function description matches the transformation on the graph?

• g(x) = f(x - 3)

• g(x) = f(x + 3)

• g(x) = f(x) + 3

• g(x) = f(x) - 3

Describe how to shift the graph of f(x) to coincide with the graph of g(x)

• Shift up 3 units

• Shift down 4 units

• Shift to the right 3 units

• Shift to the left 3 units

Complete the statement: The graph of g(x) is a ______ shift of f(x)

• horizontal

• vertical

• diagonal

• rotational