MATCHING - Graphing Absolute Value & Equations

Front

What is the effect of the '-2' in the equation y=|x|-2?

Back

It shifts the graph down by 2 units.

Front

What does the negative sign in front of the absolute value in y=-|x| indicate?

Back

It reflects the graph about the x-axis.

Front

How does the '+5' in the equation y=|x|+5 affect the graph?

Back

It shifts the graph up by 5 units.

Front

Identify the function that represents a graph shifted left by 4 and up by 3.

Back

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

Front

What is the equation of the graph that is shifted left by 1 and up by 2?

Back

y=|x+1|+2.

Front

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

Back

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

Front

What does the term 'absolute value' represent in a function?

Back

It represents the distance from zero on the number line, always non-negative.

Front

How do you determine the vertex of the function f(x) = |x - h| + k?

Back

The vertex is at the point (h, k).

Front

What is the general shape of the graph of an absolute value function?

Back

It forms a 'V' shape.

Front

What happens to the graph of y=|x| when you add a positive constant to it?

Back

The graph shifts upward by that constant.