Graphing an absolute value equation with horizontal shift

The video tutorial explains how to graph an absolute value function with a horizontal shift. It begins with an introduction to the general form of absolute value functions, followed by a detailed explanation of transformations, specifically focusing on horizontal shifts. The instructor provides an example of shifting a graph left by 4 units and verifies this by plotting specific points. Finally, the tutorial covers how to determine the domain and range of the graph.

What is the general shape of an absolute value function graph?

• A U shape

• A V shape

• A straight line

• A circle

What does adding a positive constant inside the absolute value function do to the graph?

• Shifts it to the right

• Shifts it downwards

• Shifts it to the left

• Shifts it upwards

If the function is f(x) = |x + 4|, how is the graph shifted?

• 4 units down

• 4 units up

• 4 units to the left

• 4 units to the right

When plotting points for the function f(x) = |x + 4|, what is the y-value for x = -6?

• 6

• 4

• 2

• 0

What is the y-value for the function f(x) = |x + 4| when x = 0?

• 2

• 6

• 4

• 0

What is the domain of the absolute value function graph?

• 0 to Infinity

• Negative Infinity to 0

• Negative Infinity to Infinity

• 0 to 10

What is the range of the absolute value function graph?

• Negative Infinity to Infinity

• 0 to 10

• Negative Infinity to 0

• 0 to Infinity