Transformations from a Graph

• A.
• B.
• C.
• D.

Tags

CCSS.HSF-IF.C.7B

If (-2, 5) is on the graph of y = f(x), which of the following coordinates will be on the graph of y = 2f(3x)

• (-2/3 , 10)

• (-6, 10)

• (-2/3 , 5/2)

• (-4 , 15)

If (2, 3) is on the graph of y = f(x), which of the following coordinates will be on the graph of y = f(x + 1) + 3

• (3 , 6)

• (1 , 6)

• (5 , 0)

• (-1 , 0)

Tags

CCSS.HSF.BF.B.3

• F

• G

• H

• J

• K

What transformations occurred to get f(x), the red graph, to become g(x), the blue graph?

• horizontal shift down and vertical shift left

• horizontal shift left and vertical shift down

• horizontal shift right and vertical shift up

• horizontal shift up and vertical shift right

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

• g(x) = 3f(x)

• 
• g(x)= 1/3f(x)

• 
• g(x) = f(x) + 5

• 
• g(x) = -f(x)

• 
• g(x) = f(x) - 5

• 

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

A student graphed f(x) = x + 1 and h(x) =f(x - 7) on the same graph. Which statement describes the graphs of f and h?​

The graph of f(x) ​ (a)   to create the graph of h.

• is shifted right 7 units

• is shifted up 7 units

• is shifted left 7 units

• is shifted down 7 units

A student graphed f(x) = x + 1 and h(x) =f(x - 7) on the same graph. Which statement describes the graphs of f and h?​ The graph of f(x) ​ (a)   to create the graph of h.

• is shifted right 7 units

• is shifted up 7 units

• is shifted left 7 units

• is shifted down 7 units

Write an absolute value function given the following transformations:
Reflection across the x-axis
Vertical shift right 2 units
Horizontal shift down 7 units

• y = -|x + 2| - 7 

• y = |x - 2| - 7 

• y = -|x - 2| - 7

• y = -|x - 2| + 7