What is the correct description of the graph as it compares to its parent function y = sin x ?(1 point) Responses The graph is stretched vertically so that it is taller. The graph is stretched vertically so that it is taller. The graph is compressed vertically so that it is shorter. The graph is compressed vertically so that it is shorter. The graph is stretched horizontally, so that there are less waves in each section. The graph is stretched horizontally, so that there are less waves in each section. The graph is compressed horizontally, so that there are more waves in each section.

Answer 1

To accurately describe how a graph compares to its parent function \( y = \sin x \), you need to know the specific transformation applied to the sine function.

1. Vertical Stretch/Compression: If the transformation is of the form \( y = a \sin x \) where \( |a| > 1 \), the graph is stretched vertically (taller); if \( 0 < |a| < 1 \), it is compressed vertically (shorter).

2. Horizontal Stretch/Compression: If the transformation is of the form \( y = \sin(bx) \) where \( |b| > 1 \), the graph is compressed horizontally (more waves); if \( 0 < |b| < 1 \), it is stretched horizontally (less waves).

Given these definitions, you would choose the correct description based on the transformations that have been applied to your sine function. If you have additional details about the specific transformation, I can help you further refine your response!