Algebra Transformations Review

A student graphed f(x) = x and g(x) = (x + 4). Which statement is true?

• The graph of f is steeper than the graph of g.

• The graph of f is less steep than the graph of g.

• The graph of f is shifted 4 units up to create the graph of g.

• The graph of f is shifted 4 units to the left to create the graph of g.

A student graphed f(x) = x and g(x) = (x) - 12. Which statement is true?

• The graph of f is shifted 12 units to the right to create the graph of g.

• The graph of f is shifted 12 units down to create the graph of g.

• The graph of f is shifted 12 units up to create the graph of g.

• The graph of f is shifted 12 units to the left to create the graph of g.

Which transformation will occur if f(x) = x is replaced with f(x) = x + 2?

• Translation left 2 units

• Translation right 2 units

• Translation up by 2 units.

• Reflection across the x-axis.

What would the equation be of f(x) = 2x - 4 if the function was translated 3 unit left ?

• f(x)= 2(x - 3) - 4

• f(x)= 3x - 4

• f(x)= 2(x + 3) - 4

How did the equation shift from the parent function? y = (x - 3) + 5

• 3 right, 5 up

• 3 left, 5 up

• 3 Down

• Moved 5 right

How did the equation shift from the parent function?

y = x + c

• Shifted up "c" units

• Shifted down "c" units

• Stretches vertically

• Shifted right "c" units

Which transformation on

f(x) = x

is g(x) = -(x)

• Reflection across the y-axis

• The slope will be less steep

• The graph will be wider

• Reflection across the x-axis.

How did the equation f(x) = x change if

g(x) = 1/2(x) + 11

• Vertical stretch and shift up 11

• Horizontal shrink and shift down 11

• Vertical shrink and shift up 11

• Horizontal stretch and shift down 11

If the graph of the parent function f(x) = x is shifted 7 units up and is horizontally compressed by a factor of 3, what is the function?

• g(x) = (7x) + 3

• g(x) = 3(x) - 7

• g(x) = (3x) + 7

• g(x) = 7x - 3

How did the equation shift from the parent function? y = -3(x) + 5

• Reflection over x-axis, vertical stretch, up 5

• Reflection over y-axis, vertically compressed, right 5

• vertical stretch, left 5

• reflection over x-axis, vertically compressed, up 5