We want to calculate the following
Using the properties of exponents, we have that
So we have
So, if factor 10^-4 on the right side, we have
Note that
Then,
So we have that
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YOURREWARD- 11 POITNS 1 ESSAY AND 4 MEMES FOR EACH QUESTION ANSWERED
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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.
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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
.
.
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.
1 answer:
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