Transformations from Graphs of Linear Functions

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

• Graph g is a reflection.

• Graph g translated down 2 units.

• Graph g is steeper.

• Graph g is less steep.

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

• Graph g rotated

• Graph g translated down 4 units

• Graph g translated up 4 units

• Graph g reflected

Which function is best represented by the graph of g?

This line is known as f(x) and what else?

• grandma function

• grandpa function

• parent function

• baby function

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

What is the effect on the graph of the linear parent function, f(x) = x, when f(x) is replaced by f(x- 7)? Complete the sentence by selecting the correct answers from the drop-down menus. The graph of the line ​ (a)   ​ ​ (b)   7 units.

• shifts horizontally

• up

• down

• left

• right

• shifts vertically

Rewrite f(x) = 2x - 1 shifted up three units and the slope doubled (a)  

• f(x) = 5x - 2

• f(x) = 4x + 2

• f(x) = 4x + 3

• f(x) = 5x - 4

What is the effect on the graph of the linear parent function, f(x) = x, when f(x) is replaced by f(x- 7)? Complete the sentence by selecting the correct answers from the drop-down menus. The graph of the line ​ (a)   ​ ​ (b)   7 units.

• shifts horizontally

• up

• down

• left

• right

• shifts vertically

Match the following graphs to the correct transformations of f(x) = x (BLACK LINE) to g(x) (RED LINE).

• g(x)= 1/3f(x)

• 
• g(x) = f(x) - 5

• 
• g(x) = 3f(x)

• 
• g(x) = f(x) + 5

• 
• g(x) = -f(x)

• 

• left

• right

• up

• down

• down

• up

• right

• left