Identifying multiple characteristics from the equation of a parabola

The video tutorial covers the axis of symmetry, vertex, and transformations of a graph. It explains how to determine the axis of symmetry as a vertical line, calculate the vertex using H and K, and apply vertical and horizontal transformations. The tutorial also discusses compression and stretching based on the absolute value of A, and concludes with an explanation of the domain and range of the graph.

What is the axis of symmetry in a graph?

• A horizontal line

• A vertical line represented by X = H

• A number on the X-axis

• A point on the graph

How is the vertex of a graph determined?

• By calculating the slope of the graph

• By using the coordinates (H, K)

• By identifying the highest point on the graph

• By finding the midpoint of the axis of symmetry

What happens to a graph when it undergoes a vertical transformation?

• It shifts left or right

• It rotates around the origin

• It becomes a horizontal line

• It shifts up or down

How does a graph change when it is compressed?

• It shifts downwards

• It becomes wider

• It becomes narrower

• It shifts upwards

What is the domain of a graph that extends indefinitely?

• From 0 to 100

• From 0 to positive infinity

• From negative infinity to 0

• From negative infinity to positive infinity

What does the range of a graph represent?

• The slope of the graph

• The horizontal extent of the graph

• The number of points on the graph

• The vertical extent of the graph

What does a negative value of A indicate about the graph's direction?

• The graph opens downwards

• The graph opens upwards

• The graph remains unchanged

• The graph becomes a horizontal line