Algebra U4L14 - Absolute Value Graphs

Front

What is the definition of absolute value?

Back

The absolute value of a number is its distance from zero on the number line, regardless of direction. It is denoted as |x|.

Front

What does the graph of y = |x| look like?

Back

The graph of y = |x| is a V-shaped graph that opens upwards, with its vertex at the origin (0,0).

Front

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

Back

The equation y = |x| - 7 shifts the graph of y = |x| down by 7 units.

Front

What is the effect of the equation y = |x - 1|?

Back

The equation y = |x - 1| shifts the graph of y = |x| to the right by 1 unit.

Front

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

Back

The equation y = |x + 4| shifts the graph of y = |x| to the left by 4 units.

Front

What is the vertex of the graph of y = |x - 3| + 2?

Back

The vertex of the graph y = |x - 3| + 2 is at the point (3, 2).

Front

How do you identify the vertex of an absolute value function?

Back

The vertex of an absolute value function in the form y = |x - h| + k is the point (h, k).

Front

What does the equation y = |x| + 3 do to the graph of y = |x|?

Back

The equation y = |x| + 3 shifts the graph of y = |x| up by 3 units.

Front

What is the effect of the negative sign in y = -|x|?

Back

The negative sign in y = -|x| reflects the graph of y = |x| across the x-axis.

Front

What is the equation of the absolute value function that opens downwards?

Back

An absolute value function that opens downwards can be represented as y = -|x| + k, where k is the vertical shift.