vertical stretch
[vertical stretch|vertical stretch] refers to a transformation where the graph of a function is scaled vertically by a specified factor.
Definition
vertical stretch refers to a transformation where the graph of a function is scaled vertically by a specified factor. This transformation stretches the graph away from the x-axis, increasing the distance of each point from the axis. It is distinct from horizontal reflections and other transformations like horizontal stretches or reflections. The factor determines the extent of the vertical scaling, with larger factors resulting in more pronounced stretching.
Mechanism
vertical stretch Given a function, graph its vertical stretch. With tangent graphs, it is often necessary to determine a vertical stretch using a point on the graph. The process involves scaling the graph vertically based on the function's transformation.
Causes
vertical stretch is determined by identifying a vertical stretch using a point on the graph, which is essential for accurate representation of tangent graphs.
Effects
vertical stretch A vertical stretch occurs when the constant is greater than 1, resulting in a scaling effect on the graph. The link demonstrates this with a function multiplied by 2, showing the stretched version. Vertical stretch is also necessary for determining tangent graph transformations using a specific point.
Determine Vertical Mechanism
vertical stretch With tangent graphs, determining a vertical stretch requires identifying a point on the graph. This process is often necessary to ensure accurate scaling. The vertical stretch is calculated based on the relationship between the point and the graph's tangent line. Using this method helps align the graph's scale with the desired transformation.
Effects on Determine Vertical
vertical stretch With tangent graphs, determining a vertical stretch is often necessary to align the graph with a specific point. This process ensures the graph reflects the correct scaling factor. The vertical stretch affects how the graph's shape is transformed relative to its original position.
Horizontal Reflection
vertical stretch [vertical stretch] refers to a transformation where the graph of a function is stretched vertically by a specified factor. This transformation is distinct from a horizontal reflection, which involves flipping the graph across the y-axis. The evidence indicates that [vertical stretch] is applied alongside a horizontal reflection to modify the graph of a function.