1 .Which statement correctly describes the relationship between the graph of f(x)=2x
and the graph of g(x)=f(x)−4 ?

A. The graph of g(x) is the graph of ​ f(x)​ translated 4 units right.

B. The graph of g(x) is the graph of f(x) translated 4 units left.

C. The graph of g(x) is the graph of ​​ f(x)​ translated 4 units up.

D. The graph of g(x) is the graph of​​ ​ f(x) ​ translated 4 units down.




2. Which statement correctly describes the relationship between the graph of f(x) and g(x)=f(x−7) ?


A. The graph of g(x) is the graph of ​f(x)​ translated 7 units down.

B. The graph of g(x) is the graph of ​f(x)​ translated 7 units left.

C. The graph of g(x) is the graph of ​f(x)​ translated 7 units right.

D. The graph of g(x) is the graph of ​f(x)​ translated 7 units up.




3. The graph of g(x) is the graph of f(x)=x+6 reflected across the x-axis.

Which equation describes the function g?

A. g(x)=−x−6

B. g(x)=x−6

C. g(x)=−x+6

D. g(x)=−6x−6

4. The graph of g(x) ​​is the graph of f(x)=12x+6 compressed vertically by a factor of ​
1/3 ​ .

Which equation describes the function g?

A. g(x)=4x+2

​ B. g(x)=4x+6 ​

C. ​ g(x)=12x+2 ​

D. ​ g(x)=36x+6 ​



5. Which series of transformations take the graph of f(x)=2x+3 to the graph of g(x)=−2x+4 ?

A. reflect the graph about the y-axis and translate 1 unit up

B. reflect the graph about the y-axis and translate 1 unit down

C. reflect the graph about the x-axis and translate 1 unit up

D. reflect the graph about the x-axis and translate 1 unit down