Absolute Value Functions Review

Front

What is the RANGE of the absolute value function?

Back

[1, ∞)

Front

What is the domain of the absolute value function?

Back

(-∞, ∞)

Front

What does it mean to transform a function?

Back

To change its position, shape, or size on the graph.

Front

What is the effect of a reflection across the x-axis on a function?

Back

It flips the graph over the x-axis.

Front

What is the effect of a vertical shift of 2 units up on a function?

Back

It moves the graph up by 2 units.

Front

What is the effect of a horizontal shift of 7 units down on a function?

Back

It moves the graph down by 7 units.

Front

Write the absolute value function for a reflection across the x-axis and a vertical shift 2 units right.

Back

y = -|x - 2|

Front

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

Back

f(x) = -|x| + k, where k is the vertical shift.

Front

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

Back

The vertex is the point where the function changes direction, typically at (h, k) in y = a|x - h| + k.

Front

What is the general form of an absolute value function?

Back

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