Absolute Value Transformations

Front

What is the parent function of absolute value?

Back

f(x) = |x|

Front

Describe the transformation of f(x) = |x| + 3.

Back

Shifts up 3.

Front

What is the range of the function f(x) = |x|?

Back

y ≥ 0.

Front

Describe the transformation of f(x) = -|x|.

Back

Reflects over the x-axis.

Front

What does the transformation f(x) = |x - 2| represent?

Back

Shifts right 2.

Front

What does the transformation f(x) = |x| - 4 represent?

Back

Shifts down 4.

Front

Describe the transformation of f(x) = 2|x|.

Back

Stretches vertically by a factor of 2.

Front

What is the effect of the transformation f(x) = -|x| + 1?

Back

Reflects over the x-axis and shifts up 1.

Front

What does the transformation f(x) = |x + 1| represent?

Back

Shifts left 1.

Front

Describe the transformation of f(x) = 1/3|x|.

Back

Compresses vertically by a factor of 1/3.