Question

2. Which statement correctly describes the relationship between the graph of f(x)=x and the graph of g(x)=f(x+9) ?

A The graph of g(x) is the graph of​​​ f(x) translated 9 units right.
B The graph of g(x) is the graph of f(x) translated 9 units left.
C The graph of g(x) is the graph of​ f(x)​ vertically stretched by a factor of 9.
D The graph of g(x) is the graph of​​ f(x)​ vertically compressed by a factor of 9.
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3. The linear parent function, f(x)=x ,was transformed to create a graph g(x) =f(x)−1.

Which statement about the graphs is true?

A The graph of f is shifted 1 unit to the left to create the graph of g.
B The graph of f is shifted 1 unit down to create the graph of g.
C The graph of f is reflected over the x-axis to create the graph of g.
D The graph of f is reflected over the y-axis to create the graph of g
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3. The graph of function g(x) is a vertical stretch of the graph of function f(x)=x ​​by a factor of 2.

Which equation describes function g(x)?

A ​​g(x)=f(x)−2
B ​g(x)=12f(x)
C g(x)=2f(x)
D ​​g(x)=f(x)+2
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4. The function f(x)=x was transformed to create a graph g(x)=f(x−3)+1.

Which statement describes how the graphs of f and g are related?

A The graph of f is shifted to the right 3 units and down 1 unit to create the graph of g.
B The graph of f is shifted to the right 3 units and up 1 unit to create the graph of g.
C The graph of f is shifted to the left 3 units and up 1 unit to create the graph of g.
D The graph of f is shifted to the left 3 units and down 1 unit to create the graph of g.

Answer 1

It is B, B, C, B

(x-1) would be the opposite on the x axis so it will be 1 to the right.

If it is (x)-1 is accurate to the horizontal change so it is 1 down.

Explanation:

Answer 2

BBCB
(x-1) would be the opposite on the x axis so it will be 1 to the right.
if it is (x)-1 it is accurate to the horizontal change so it is 1 down