pk ELearn Absolute Value Transformations/Graphs

Front

What is the equation of the absolute value function?

Back

f(x) = |x| + 4

Front

What does the absolute value of a number represent?

Back

The distance of that number from zero on the number line.

Front

How does the graph of f(x) = |x| look?

Back

It forms a V shape with the vertex at the origin (0,0).

Front

What effect does adding a constant outside the absolute value have on the graph?

Back

It shifts the graph vertically. For example, f(x) = |x| + 4 shifts it up by 4 units.

Front

What effect does subtracting a constant outside the absolute value have on the graph?

Back

It shifts the graph vertically down. For example, f(x) = |x| - 4 shifts it down by 4 units.

Front

What happens to the graph of f(x) = |x - 3|?

Back

It shifts the graph of f(x) = |x| to the right by 3 units.

Front

What happens to the graph of f(x) = |x + 2|?

Back

It shifts the graph of f(x) = |x| to the left by 2 units.

Front

What is the vertex of the graph of f(x) = |x - 1| + 2?

Back

The vertex is at the point (1, 2).

Front

How do you find the x-intercepts of the absolute value function?

Back

Set the equation inside the absolute value to zero and solve for x.

Front

What is the domain of the absolute value function?

Back

The domain is all real numbers, (-∞, ∞).