Absolute Value Functions Flashcard

Front

What is the vertex of the absolute value function y = |x - 2| + 5?

Back

(2, 5)

Front

Which transformation results in shifting the graph of y = |x| to the right by 4 units?

Back

y = |x - 4|

Front

Determine the vertex of the absolute value function y = -2|x + 4| - 3.

Back

(-4, -3)

Front

Is the vertex of the function y = -2|x + 4| - 3 a maximum or a minimum?

Back

Minimum

Front

What is the range of y = |x|?

Back

y > 0

Front

What does the absolute value function y = |x| represent graphically?

Back

A V-shaped graph that opens upwards.

Front

How does the graph of y = |x| change when a negative coefficient is applied, such as in y = -|x|?

Back

The graph flips downwards, creating an upside-down V shape.

Front

What is the effect of adding a constant outside the absolute value, such as in y = |x| + 3?

Back

It shifts the graph up by 3 units.

Front

What is the effect of subtracting a constant outside the absolute value, such as in y = |x| - 2?

Back

It shifts the graph down by 2 units.

Front

What is the effect of adding a constant inside the absolute value, such as in y = |x + 2|?

Back

It shifts the graph left by 2 units.