Absolute Value Graphs

Front

What is the parent function of an Absolute Value?

Back

The parent function of an Absolute Value is f(x) = |x|.

Front

How does the equation y = |x| - 7 affect the graph?

Back

The graph slides down 7 units.

Front

What is the equation of the graph that has a vertex at (0, -2)?

Back

f(x) = |x| - 2.

Front

How does the equation y = |x - 3| affect the graph?

Back

The graph slides right 3 units.

Front

What is the effect of the equation f(x) = |x + 4| + 3 on the graph?

Back

The graph slides left 4 units and up 3 units.

Front

What does the absolute value symbol |x| represent?

Back

The absolute value symbol |x| represents the distance of x from 0 on the number line.

Front

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

Back

The vertex is at (2, 1).

Front

How does the equation y = -|x| affect the graph?

Back

The graph reflects over the x-axis.

Front

What is the effect of the equation f(x) = |x| + 5 on the graph?

Back

The graph slides up 5 units.

Front

What is the general form of an absolute value function?

Back

The general form is f(x) = a|bx - h| + k, where (h, k) is the vertex.