Absolute Value Graphs

Front

What is the y-intercept of the function f(x) = |x + 4| + 3?

Back

The y-intercept is 7.

Front

Which function defines the graph with a vertex at (-4, 3)?

Back

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

Front

How does the graph of y = |x| - 7 transform the basic absolute value graph?

Back

It slides down 7 units.

Front

What is the equation of the graph that has a vertex at (2, 0)?

Back

f(x) = |x - 2|.

Front

What is the equation of the absolute value function that shifts up by 4 units?

Back

f(x) = |x| + 4.

Front

What does the expression |x - 3| represent in terms of graph transformation?

Back

It represents a horizontal shift to the right by 3 units.

Front

What is the vertex of the function f(x) = |x + 1| - 5?

Back

The vertex is at (-1, -5).

Front

How does the graph of f(x) = |x| + 2 differ from the graph of f(x) = |x|?

Back

It is shifted up 2 units.

Front

What is the effect of the negative sign in front of the absolute value in f(x) = -|x|?

Back

It reflects the graph across the x-axis.

Front

What is the general form of an absolute value function?

Back

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