Transformations Function Notation

Given the following, translate the graph seven left and two up!

Mathematical Equivalence

ON

How does the graph of g(x) compare to f(x)?

• g(x) is steeper and translated down from f(x)

• g(x) is steeper and translated up from f(x)

• g(x) is less steep and translated down from from f(x)

• g(x) is less steep and translated up from f(x)

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How do we represent a translation 3 units right and 1 unit up?

Which axis is this graph reflected over? [Type "x" or "y"]

Which statement best describes how reflecting over the x-axis affects the x- and y-values?

• The x-values stay the same while the y-values flip signs

• The x-values flip signs while the y-values stay the same

• Both the x-values and the y-values flip signs

• Both the x-values and the y-values stay the same

How do we represent a reflection across the x-axis in function notation?

What would happen to the graph if we reflected it across the y-axis?

• It would move to the right

• It would look the same

• It would turn upside down

• It would get smaller

Which statement best represents the transformation shown here (from red to purple)?

• Vertical compression

• Vertical stretching

• Horizontal compression

• Horizontal stretching

How do the purple points' distances from the x-axis compare to their corresponding red points?

• The purple points are 2 times farther from the x-axis

• The purple points are 3 times farther from the x-axis

• The purple points are 2 times closer to the x-axis

• The purple points are 3 times closer to the x-axis