Transformations of Linear Functions 2

The graph of ƒ(x)=x is transformed to create a graph that is reflected over the x-axis. Which function best represents the transformed graph?

• ƒ(x)-1

• ƒ(x-1)

• -ƒ(x)

• 3f(x)

The graph of ƒ(x)=x is transformed to create a graph that has a steeper slope. Which function best represents the transformed graph?

• ƒ(x)+5

• ƒ(x)+⅕

• 5ƒ(x)

• ⅕ƒ(x)

The graph of ƒ(x)=x is transformed to create the graph of g(x) that is shifted 3 units down. Which graph shows the relationship between ƒ(x) and g(x)?

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The graph of ƒ(x)=x is transformed to create the graph of g(x) that is less steep. Which graph shows the relationship between ƒ(x) and g(x)?

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The graph of ƒ(x)=x is transformed to create the graph of g(x)=ƒ(x)+4. Which statement about the relationship between ƒ(x) and g(x) is true?

• The graph of g(x) is steeper than the graph of ƒ(x).

• The graph of g(x) is less steep than the graph of ƒ(x).

• The y-intercept of g(x) has been translated up from the graph of ƒ(x).

• The y-intercept of g(x) has been translated down from the graph of ƒ(x).

The graph of ƒ(x)=x is transformed to create the graph of g(x)=⅙ƒ(x). Which statement is true about the relationship between ƒ(x) and g(x)?

• The graph of g(x) is steeper than the graph of ƒ(x).

• The graph of g(x) is less steep than the graph of ƒ(x).

• The y-intercept of g(x) has been translated up from the graph of ƒ(x).

• The y-intercept of g(x) has been translated down from the graph of ƒ(x).

The graph of ƒ(x)=x is transformed to create the graph of g(x)= –ƒ(x). Which graph shows the relationship between ƒ(x) and g(x)?

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The graph of ƒ(x)=x is transformed to create the graph of g(x)=2ƒ(x). Which graph shows the relationship between ƒ(x) and g(x)?

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The graph of ƒ(x)=x is transformed to create the graph of g(x) as shown. Which description best matches the relationship between ƒ(x) and g(x)?

• The y-intercept shifted up.

• The y-intercept shifted down.

• The slope of g(x) is steeper than the slope of ƒ(x).

• The slope of g(x) is less steep than the slope of ƒ(x).

The graph of ƒ(x)=x is transformed to create the graph of g(x) as shown. Which description best matches the relationship between ƒ(x) and g(x)?

• The y-intercept shifted up.

• The y-intercept shifted down.

• The slope of g(x) is steeper than the slope of ƒ(x).

• The slope of g(x) is less steep than the slope of ƒ(x).