Absolute Value Functions

Front

What is the vertex of the absolute value function y = -|x + 6|?

Back

The vertex is (-6, 0).

Front

What is the vertex of the function y = -4|x + 2| + 5?

Back

The vertex is (-2, 5).

Front

What is the general form of an absolute value function?

Back

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

Front

What does the 'a' value in the absolute value function y = a|x - h| + k represent?

Back

The 'a' value represents the vertical stretch or compression and the direction of the graph (upward if a > 0, downward if a < 0).

Front

What is the vertex of the absolute value function y = 8|x - 3| + 7?

Back

The vertex is (3, 7).

Front

How does a vertical compression by a factor of 1/9 affect the absolute value function?

Back

It makes the graph wider, reducing the steepness of the V shape.

Front

What is the effect of a negative 'a' value in an absolute value function?

Back

It reflects the graph across the x-axis.

Front

What is the vertex of the function y = |x + 4| + 3?

Back

The vertex is (-4, 3).

Front

How do you find the vertex of an absolute value function in the form y = a|x - h| + k?

Back

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

Front

What transformation does the equation y = |x| + 3 represent?

Back

It represents a vertical shift upward by 3 units.