Graph Transformations Quiz

What does the transformation f(x) + 7 do to the graph of f(x) ?

• Translates it up 7

• Translates it down 7

• Translates it right 7

• Translates it left 7

What does the transformation f(x - 4) do to the graph of f(x) ?

• Translates it left 4

• Translates it up 4

• Translates it down 4

• Translates it right 4

What does the transformation 6f(x) do to the graph of f(x) ?

• Stretches it vertically by 6

• Shrinks (compress) it vertically by 6

• Stretches it horizontally by 6

• Shrinks (compress) it horizontally by 6

What does the transformation -f(x) do to the graph of f(x) ?

• Reflects it vertically (over the x-axis)

• Vertical Shrink

• Moves it down 1

• Moves it right 1

Tags

CCSS.HSF.BF.B.3

• g(x) = 2|x| - 5

• g(x) = 2|x - 5|

What is the function rule for the graph g(x) if it is a transformation of the graph f(x) = |x|?

• g(x) = |x + 1| + 5

• g(x) = |x - 1| + 5

• g(x) = |x + 5| + 1

• g(x) = -|x - 1| + 5

Which of the following functions represents a vertical stretch of the absolute value function?

• f(x) = |x + 2| - 3

• f(x) = -3|x|

• f(x) = |x| + 3

• f(x) = |x - 2| + 3

What is the effect of adding a constant inside the absolute value function, such as in f(x) = |x + 2|?

• Vertical shift up

• Vertical shift down

• Horizontal shift left

• Horizontal shift right

In the function f(x) = |x + 2| - 3, what does the "-3" represent?

• Horizontal shift left

• Horizontal shift right

• Vertical shift up

• Vertical shift down

Which of the following functions represents a reflection over the x-axis?

• f(x) = |x + 2| - 3

• f(x) = -3|x|

• f(x) = |x| + 3

• f(x) = |x - 2| + 3