2-7: Absolute Value Translations (Part 1 & 2)

Front

What is the equation of the absolute value function?

Back

f(x) = |x| + 4

Front

What transformation does the function f(x) = |x - 3| + 2 represent?

Back

Right 3, Up 2

Front

Which function defines the graph of an absolute value function shifted left and up?

Back

f(x) = |x + 4| + 3

Front

What is the effect of a negative sign in front of the absolute value function, such as in f(x) = -|x + 4|?

Back

It reflects the graph across the x-axis.

Front

What is the domain of the absolute value function?

Back

All real numbers

Front

What is the range of the function f(x) = |x| + 4?

Back

y ≥ 4

Front

How does the graph of f(x) = |x - 2| differ from f(x) = |x|?

Back

It is shifted right 2 units.

Front

What does the vertex of the absolute value function represent?

Back

The minimum or maximum point of the graph.

Front

If f(x) = |x + 1| - 3, where is the vertex located?

Back

At (-1, -3)

Front

What is the transformation of f(x) = |x| + 5 compared to f(x) = |x|?

Back

It is shifted up 5 units.