Absolute Value Graph Transformations

Front

What is the effect of the equation y = |x - h| + k on the graph of y = |x|?

Back

The graph is shifted right by h units and up by k units.

Front

How does the equation y = |x + 5| - 2 transform the graph of y = |x|?

Back

The graph is shifted left by 5 units and down by 2 units.

Front

What does the 'h' represent in the equation y = |x - h| + k?

Back

The value 'h' represents the horizontal shift of the graph.

Front

What does the 'k' represent in the equation y = |x - h| + k?

Back

The value 'k' represents the vertical shift of the graph.

Front

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

Back

The graph is reflected over the x-axis and shifted up by 3 units.

Front

What is the vertex of the graph y = |x - 2| + 1?

Back

The vertex is at the point (2, 1).

Front

What is the effect of the negative sign in front of the absolute value in y = -|x + 4|?

Back

It reflects the graph over the x-axis.

Front

How do you identify the vertex of the graph y = |x + 3| - 5?

Back

The vertex is at the point (-3, -5).

Front

What transformation does y = |x| + 2 represent?

Back

The graph is shifted up by 2 units.

Front

What is the general form of an absolute value function?

Back

The general form is y = a|x - h| + k.