Function Transformation

Describe the transformation

• left 2 up 5
• right 2 up 5
• left 2 down 5
• right 2 down 5

Describe the parent graph transformation

• stretch by 1/2, left 1, down 3
• stretch by 1/2, right 1, down 3
• compression by 1/2, left 1, down 3
• compression by 1/2, right 1, down 3

• Left 4, up 9

• Left 4, down 9

• Right 4, up 9

• Right 4, down 9

Write the equation for a graph that shift left 13.

• g(x)=(x-13)

• g(x)=(x+13)

• g(x)=x-13

• g(x)=-13x

What kind of shift happens with this function?

• 4 points up
• 4 points to the left
• 4 points to the right
• 4 points down

Match the correct transformation for the function g(x):

g(x) + 2​ (a)  

g(x - 2)​ (b)  

g(x + 2)​ (c)  

g(x) - 2​ (d)  

• g shifts 2 units up
• g shifts 2 units right
• g shifts 2 units left
• g shifts 2 units down

If the point (3, -1) is on the graph of f(x), where will this point be on the graph of f(x + 3) - 4?

• (6,-5)

• (-1, -2)

• (0,-5)

• (6,3)

If the point (3, -1) is on the graph of f(x), where will this point be on the graph of

2f(x) + 2?

• (6, 1)

• (3, 1)

• (6, 0)

• (3, 0)

If the point (4, -2) is on the graph of f(x), where will this point be on the graph of

-f(2x) + 1?

• (2, 3)

• (8, -1)

• (-8, -1)

• (-2, -3)

If the domain of k(x) is [-2, 6], match the domain of each of the following:

k(x - 1) + 3​ (a)   ​

-3k(x)​ (b)  

k(1/2x + 4)​ (c)  

2k(-x + 5)​ (d)  

• [-1, 9]
• [-2, -18]
• [0, 6]
• [2, 17]