Transformations HW

Write an equation for g(x), a translation of f(x) 4 units to the right and 3 units down.

Write the equation for a graph that is vertically shrink by a factor of 2/5 and shifted up 6.

• y=6|x|-2/5

• y=2/5|x|+6

• y=2/5|x+6|

• y=2/5|x-6|

Describe the transformation of the equation below from the parent function of y = I x I
y = -2 I x - 3 I + 3

• reflected over x axis, stretched by 2, right 3, up 3
• reflected over x axis, stretched by 2, left 3 up 3.
• reflected over x axis, shrunk by 2, right 3, up 3
• reflected over the x axis, shrunk by 2, left 3, up 3

Describe the transformations of the absolute value equation.

• Reflects over x-axis, vertical shrink, shifts right 1 unit

• Reflects over x-axis, horizontal shrink, shifts up 1 unit

• Reflects over x-axis, horizontal stretches , shifts right 1 unit

• Reflects over x-axis, vertical stretch , shifts up 1 unit

The linear parent function, f(x) = x, is transformed to g(x) = f(x) - 6. Describe the transformation.

• g(x) is shifted up 6 units

• g(x) is shifted down 6 units

• g(x) is shifted left 6 units

• g(x) is shifted right 6 units

• Vertical stretch by a factor of 4

• Vertical shink by a factor of 1/4

• Vertical translation up by 1/4 units.

• Horizontal shrink by a factor of 1/4

Describe the transformation from the parent function: y = 3x + 5

• Vertical Stretch by 3; Shift up 5 units

• Vertical Shrink ; Shift down 5 units

• Horizontal Shrink; Shift up 5 units

• Horizontal Stretch ; Shift down 5 units

Which transformation on

f(x) = x

is g(x) = -f(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) = 1/2f(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

• vertical, 2, down

• horizontal, 2, left

• horizontal, 2, right

• horizontal, 2, up

• horizontal, 2, down