Absolute Value Functions

Front

What is the parent function of absolute value functions?

Back

The parent function is the absolute value function, denoted as f(x) = |x|.

Front

What transformation occurs when the absolute value function compresses wider and shifts down 4 units?

Back

The graph of the function becomes wider and moves down 4 units on the y-axis.

Front

What is the vertex of the absolute value function f(x) = |x| + 4?

Back

The vertex is (0, 4).

Front

What is the line of symmetry for the absolute value function f(x) = |x|?

Back

The line of symmetry is the vertical line x = 0.

Front

What is the y-intercept of the function f(x) = |x| - 1?

Back

The y-intercept is (0, -1).

Front

What are the x-intercepts of the function f(x) = |x| - 2?

Back

The x-intercepts are (2, 0) and (-2, 0).

Front

What does it mean for a vertex to be a minimum in an absolute value function?

Back

The vertex is the lowest point on the graph, indicating the minimum value of the function.

Front

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

Back

The range is [0, ∞) because the output of the function is always non-negative.

Front

Which statement is true about the absolute value function f(x) = |x| + 3?

Back

The vertex is at (0, 3) and the graph shifts up 3 units.

Front

What happens to the graph of f(x) = |x - 1| when it is transformed?

Back

The graph shifts right 1 unit.