Graphing a absolute value equation with horizontal shift

The video tutorial explains how to graph an absolute value function, focusing on the V-shape of the graph and its symmetry. It covers transformations, such as shifting the graph left or right, and explains how to determine the domain and range. The domain is all real numbers, while the range is from zero to infinity.

What shape does the graph of an absolute value function typically form?

• A parabola

• A straight line

• A V shape

• A circle

How does adding a positive number inside the absolute value function affect the graph?

• Shifts the graph to the left

• Moves the graph upwards

• Moves the graph downwards

• Shifts the graph to the right

If the graph of an absolute value function is shifted 3 units to the left, what transformation has occurred?

• X + 3

• Y - 3

• X - 3

• Y + 3

What is the domain of an absolute value function?

• Only positive numbers

• Numbers greater than zero

• Only negative numbers

• All real numbers

What is the range of an absolute value function?

• All real numbers

• Zero to positive infinity

• Negative infinity to positive infinity

• Negative numbers only