pk ELearn Absolute Value Transformations/Graphs

Front

What is the equation of the absolute value function?

Back

f(x) = |x| + 4

Tags

CCSS.HSF-IF.C.7D

Front

What does the absolute value of a number represent?

Back

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

Tags

CCSS.6.NS.C.7C

Front

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

Back

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

Tags

CCSS.HSF-IF.C.7D

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).

Tags

CCSS.HSF-IF.C.7D

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.

Tags

CCSS.HSF-IF.C.7D

Front

What is the domain of the absolute value function?

Back

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

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5