Translation of Graphs

Front

What is the effect of adding a positive number to the absolute value function y = |x|?

Back

It shifts the graph upward by that number.

Front

What is the effect of subtracting a positive number from the absolute value function y = |x|?

Back

It shifts the graph downward by that number.

Front

What is the effect of adding a positive number inside the absolute value function y = |x + c|?

Back

It shifts the graph to the left by c units.

Front

What is the effect of subtracting a positive number inside the absolute value function y = |x - c|?

Back

It shifts the graph to the right by c units.

Front

What is the vertex of the graph y = |x - 3|?

Back

The vertex is at the point (3, 0).

Front

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

Back

It shifts the graph left 2 units and down 5 units.

Front

What does the equation y = |x| + 4 represent?

Back

It represents the absolute value graph shifted up 4 units.

Front

If the equation is y = |x - 1| + 3, where is the vertex located?

Back

The vertex is at the point (1, 3).

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 happens to the graph of y = |x| when 'a' is negative in y = a|x|?

Back

The graph reflects over the x-axis.