Transformation of Absolute Value Functions

Front

What is the transformation of the function f(x) = |x + 4| - 9?

Back

Left 4, Down 9

Front

What is the equation of the absolute value function that shifts up 4 units?

Back

f(x) = |x| + 4

Front

What does the transformation 'stretches more narrow' mean for an absolute value function?

Back

The graph becomes steeper, indicating that the function values increase more rapidly.

Front

What is the effect of a negative sign in front of an absolute value function?

Back

It reflects the graph across the x-axis.

Front

How does the function f(x) = -3|x - 1| + 4 transform the parent function?

Back

It reflects it across the x-axis, stretches it vertically by a factor of 3, shifts it right 1 unit, and shifts it up 4 units.

Front

What is the parent function of absolute value?

Back

f(x) = |x|

Front

What does 'compresses wider' mean in the context of absolute value functions?

Back

The graph becomes less steep, indicating that the function values increase more slowly.

Front

How do you identify the vertical shift in the function f(x) = |x| - 4?

Back

The graph shifts down 4 units.

Front

What is the transformation of the function f(x) = |x - 2| + 3?

Back

Right 2, Up 3

Front

What is the effect of adding a constant inside the absolute value function?

Back

It results in a horizontal shift.