Absolute Value Graphs WS

Front

What does the equation y = |x| - 7 represent in terms of graph transformation?

Back

The graph slides down 7 units.

Front

What is the general form of an absolute value function?

Back

f(x) = |x| + k, where k is a vertical shift.

Front

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

Back

The vertex is (0, 4).

Front

Which function represents a graph that shifts left by 4 and up by 3?

Back

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

Front

How does the graph of f(x) = |x - 4| + 3 differ from f(x) = |x|?

Back

It shifts right 4 units and up 3 units.

Front

What is the effect of the negative sign in front of the absolute value in f(x) = |-x|?

Back

It reflects the graph across the y-axis.

Front

If f(x) = |x|, what is the range of the function?

Back

The range is [0, ∞).

Front

What transformation does f(x) = |x| + 2 represent?

Back

The graph shifts up 2 units.

Front

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

Back

It shifts the graph vertically upwards.

Front

What is the effect of subtracting a positive constant from the absolute value function?

Back

It shifts the graph vertically downwards.