Absolute Value Transformations

Front

What is the parent function of absolute value?

Back

The parent function of absolute value is f(x) = |x|.

Front

What does the equation y = |x| - 8 represent in terms of transformation?

Back

It represents a vertical shift down by 8 units from the parent function.

Front

How does the equation g(x) = |x - 2| transform the parent function?

Back

It shifts the graph of the parent function 2 units to the right.

Front

What is the effect of adding a positive number outside the absolute value function, such as in f(x) = |x| + 2?

Back

It shifts the graph of the parent function up by 2 units.

Front

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

Back

It reflects the graph of the parent function across the x-axis.

Front

How does the equation f(x) = |x + 4| - 9 transform the parent function?

Back

It shifts the graph left by 4 units and down by 9 units.

Front

What is the transformation represented by the equation f(x) = |x| + 3?

Back

It shifts the graph of the parent function up by 3 units.

Front

What does the transformation f(x) = |x - 1| do to the parent function?

Back

It shifts the graph of the parent function right by 1 unit.

Front

If f(x) = -|x| + 5, what transformations occur?

Back

The graph is reflected across the x-axis and shifted up by 5 units.

Front

What does the equation f(x) = |x + 2| indicate about the graph's movement?

Back

It shifts the graph of the parent function left by 2 units.