Learn how to graph an absolute value equation with a horizontal transformation

The video tutorial explains how to graph absolute value equations by understanding the parent graph and transformations. It highlights the importance of the vertex in graphing and demonstrates how adding or subtracting values affects the graph's position. The tutorial also covers how to shift the graph and follow specific patterns to accurately plot the equation.

What is the significance of understanding the parent graph when graphing functions?

• It helps in identifying the function's domain.

• It determines the function's range.

• It simplifies the calculation of intercepts.

• It provides a basis for understanding transformations.

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

• It shifts the graph vertically.

• It changes the slope of the graph.

• It shifts the graph horizontally.

• It reflects the graph over the x-axis.

What is the new vertex of the graph when the equation is y = |x + 2|?

• (2, 0)

• (0, 2)

• (0, -2)

• (-2, 0)

What pattern should be followed when plotting points after shifting the graph?

• Over one, up two; over two, up four

• Over one, up one; over two, up two; over three, up three

• Over one, up one; over two, up two

• Over one, up two; over two, up three

What is the final result of shifting the graph of y = |x + 2|?

• The graph is shifted 2 units to the left.

• The graph is shifted 2 units to the right.

• The graph is shifted 2 units down.

• The graph is shifted 2 units up.