Transformation Review

Given, f(x) = |x|, which of the following is a transformation with y-axis reflection, 3 units left and 4 units down?

• f(x) = -|x+3| - 4
• f(x) = |-x + 3| - 4
• f(x) = -|x - 3| + 4
• f(x) = |-x - 3| - 4

Given f(x) = [x], which of the following is a horizontal stretch of 3?

• f(x) = [3x]
• f(x) = [(1/3)x]
• f(x) = 3[x]
• f(x) = (1/3)[x]

Given f(x) = [x], which of the following is a horizontal stretch of 3?

• f(x) = [3x]
• f(x) = [(1/3)x]
• f(x) = 3[x]
• f(x) = (1/3)[x]

Given y = f(x), which of the following is a refection about the y-axis and four units to the right?

• y = 4(f(-x)
• y = -f(x-4)
• y = f(-x - 4)
• y = f(-x + 4)

Given y = f(x), which of the following is a reflection across the x-axis and vertical shrink of 5.

• y = (-1/5)f(x)
• y = -5 f(x)
• y = f(-1/5 x)
• y = f(-5x)

Which of the following is a transformation of
 y = x² that has an x-axis reflection, is shifted 3 units left and 4 units up?

• y = -(x - 3)² + 4
• y = (-x + 3)² + 4
• y = -(x + 3)² +4
• y = (-x + 3)² + 4

Which of the following is the transformation of y = |x| is reflected across the y-axis and shifted 3 units down?

• y = -|x| - 3
• y = |-x| - 3
• y = -3|x|
• y = |x|-3

If y = f(x), which of the following is a transformation of 2 units right and 4 units up?

• y = f(x - 2) + 4
• y = f(x - 2) - 4
• y = f(x + 2) + 4
• y = f(x + 4) + 2

If y = f(x), which of the following is a transformation of 3 units left and 4 units down?

• y = f(x - 4) + 3
• y = f(x-3) + 4
• y = f(x + 3) - 4
• y = f(x + 3) + 4

If y = |f(x)|, what does that mean for the transformed graph?

• The graph is exactly the same as the original.
• The graph has symmetry about the x-axis.
• There should be no y values that are negative.
• There should be no x values that are negative.