Absolute Value Graph Transformations

Front

What is the effect of the equation y = |x + 3| on the absolute value graph?

Back

The graph is shifted left 3 units.

Front

What transformation does y = |x - 9| + 1 represent?

Back

The graph is shifted right 9 units and up 1 unit.

Front

Which equation corresponds to a graph that opens upwards and is shifted downwards?

Back

y = |x| - 5.

Front

How does the equation y = |x| - 2 transform the absolute value graph?

Back

The graph is shifted down 2 units.

Front

Identify the transformation for y = |x + 3| - 4.

Back

The graph is shifted left 3 units and down 4 units.

Front

What does the term 'absolute value' refer to in mathematics?

Back

The absolute value of a number is its distance from zero on the number line, regardless of direction.

Front

How does the graph of y = |x| change when a negative value is added outside the absolute value?

Back

It shifts the graph down by that value.

Front

What is the general form of an absolute value function?

Back

y = a|bx - h| + k, where (h, k) is the vertex.

Front

What does the parameter 'h' in the absolute value function affect?

Back

It shifts the graph horizontally; left if h is positive, right if h is negative.

Front

What does the parameter 'k' in the absolute value function affect?

Back

It shifts the graph vertically; up if k is positive, down if k is negative.