Shifts on a Linear Graph

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

The linear parent function, f(x) = x, is transformed to g(x) = f(x) - 6. Describe the transformation.

• g(x) is shifted up 6 units

• g(x) is shifted down 6 units

• g(x) is shifted left 6 units

• g(x) is shifted right 6 units

Describe the transformation from the parent function: y = 3x + 5

• Steeper; Shift up 5 units

• Steeper; Shift down 5 units

• Flatter; Shift up 5 units

• Flatter; Shift down 5 units

A line's y-intercept is changed from 8 to 2. Which way did it shift?

• up

• down

• left

• right

Tags

CCSS.MATH.CONTENT.HSA.CED.A.2

A line's y-intercept is changed from 10 to 4. Which way did it shift?

• up

• down

• left

• right

The parent function g(x) is shown in the graph. The function f(x) is also shown. The function f(x) has been shifted _____ units __________ from the parent function g(x).

• 6 units up

• 6 units down

• No shift up or down

• The graph of f is shifted 6 units down to create the graph of g.

• The graph of f is less steep than the graph of g.

• The graph of f is shifted 6 units up to create the graph of g.

• The graph of f is steeper than the graph of g.

A line's y-intercept is changed from -4 to -6. Which way did it shift?

• up

• down

• left

• right

Use the graphs of f and g to describe the transformation from the graph of f to the graph of g.

• Graph g shifted down 3 units

• Graph g shifted down 4 units

• Graph g shifted up 4 units

• Graph g reflected