Absolute Value Equation Transformation

Identify the transformation in the absolute value equation f(x) = |x + 3| - 2.

• Horizontal shift to the left by 3 units and a vertical shift downwards by 2 units

• Vertical shift to the left by 2 units and a horizontal shift downwards by 3 units

• No transformation, the equation remains unchanged

• Vertical shift to the right by 3 units and a horizontal shift upwards by 2 units

What is the transformation in the absolute value equation f(x) = |x - 2| + 4?

• No transformation, the graph remains unchanged

• Vertical shift of 2 units to the right and a horizontal shift of 4 units up

• Horizontal shift of 2 units to the right and a vertical shift of 4 units up

• Horizontal shift of 2 units to the left and a vertical shift of 4 units down

Identify the transformation in the absolute value equation f(x) = |x + 5| - 7.

• No transformation, the graph remains unchanged

• Vertical stretch by a factor of 5 and a horizontal compression by a factor of 7

• Horizontal shift of 5 units to the left and a vertical shift of 7 units down

• Vertical shift of 5 units to the right and a horizontal shift of 7 units up

In the equation f(x) = -1/3 |x| - 4, what is the transformation?

• Horizontal shift to the left by 4 units

• Vertical shift upward by 4 units

• Reflected over x-axis, wider by 3 units, vertical shift downward by 4 units

• Reflected over x-axis, narrower by 3 units, vertical shift downward by 4 units

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.

• Flips to A shape, compresses wider, shifts right 1 unit

• Flips to A shape, compresses wider, shifts up 1 unit

• Flips to A shape, stretches more narrow, shifts right 1 unit

• Flips to A shape, stretches more narrow, shifts up 1 unit

Which graph matches the function:
y = -2|x - 3| + 5

• A

• B

• C

• D

Describe the transformations of the absolute value equation.

• Reflects over x-axis, compresses wider, shifts right 1 unit

• Reflects over x-axis, compresses wider, shifts up 1 unit

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

• Reflects over x-axis, stretches more narrow, shifts up 1 unit

y=|x−3|−1

• A

• B

• C

• D

Describe the transformation that is applied to the parent function.
f(x) = IxI -5

• Shifts left 5

• Shifts right 5

• Shifts up 5

• Shifts down 5