Graphing Absolute Value Functions

The video tutorial explains how to graph an absolute value equation, specifically y = |x| + 7. It covers the concept of transformations, focusing on how the vertex of the graph shifts vertically due to the constant added to the absolute value function. The tutorial provides a step-by-step guide to plotting the graph, emphasizing the symmetry and pattern of points. The final graph is achieved by following the pattern of moving over and up by specific units.

What is the primary focus of the video tutorial?

• Graphing exponential equations

• Graphing quadratic equations

• Graphing absolute value equations

• Graphing linear equations

What is the vertex of the parent graph of an absolute value function?

• (1, 0)

• (0, 1)

• (1, 1)

• (0, 0)

How does the graph of y = |x| + 7 differ from the parent graph?

• It is shifted 7 units to the left

• It is shifted 7 units up

• It is shifted 7 units to the right

• It is shifted 7 units down

What effect does the constant outside the absolute value have on the graph?

• It shifts the graph horizontally

• It shifts the graph vertically

• It compresses the graph

• It stretches the graph

What is the role of 'h' in the transformation of the graph?

• Shifts the graph up or down

• Shifts the graph left or right

• Compresses the graph

• Stretches the graph

Where is the new vertex located for the equation y = |x| + 7?

• (0, 0)

• (0, 7)

• (7, 0)

• (7, 7)

What remains unchanged in the graph of y = |x| + 7 compared to the parent graph?

• The vertex

• The vertical shift

• The symmetry

• The horizontal shift

How do the points on the graph of y = |x| + 7 relate to each other?

• They follow a quadratic pattern

• They follow a random pattern

• They follow a consistent pattern of over 1, up 1

• They follow a linear pattern

What is the pattern followed by the points on the graph?

• Over 1, up 2

• Over 2, up 1

• Over 1, up 1

• Over 2, up 2

What is the final step in graphing the absolute value equation?

• Labeling the graph

• Drawing the axis

• Plotting the points

• Identifying the vertex