Dilation from Y Axis is a mathematical concept that is used to describe the transformation of a figure. It is a process of scaling the figure in the y-axis direction. This article will explore the concept of dilation from Y Axis, how it works, and its practical applications.

What is Dilation from Y Axis?

Dilation from Y Axis is a geometric transformation that changes the size of a figure in the y-axis direction. It is a type of dilation that involves stretching or shrinking a figure along the y-axis while leaving the x-axis unchanged. The amount of dilation is determined by a scale factor, which is a constant that multiplies the coordinates of the figure. If the scale factor is greater than 1, then the figure is enlarged; if it is less than 1, then the figure is reduced.

How does Dilation from Y Axis Work?

Dilation from Y Axis works by multiplying the y-coordinates of the figure by a scale factor. For example, if the scale factor is 2, then the y-coordinates of the figure will be doubled. This will stretch the figure vertically along the y-axis. If the scale factor is 0.5, then the y-coordinates of the figure will be halved. This will shrink the figure vertically along the y-axis. The x-coordinates of the figure remain unchanged.

Practical Applications of Dilation from Y Axis

Dilation from Y Axis has many practical applications in real life. For example, it can be used to resize images and graphics in digital media. If a graphic needs to be stretched or shrunk vertically, then Dilation from Y Axis can be used to achieve this. It is also used in architecture and engineering to scale drawings and models of buildings and structures. This allows architects and engineers to visualize the size and proportions of a building or structure before it is built.

Examples of Dilation from Y Axis

Let's look at some examples of Dilation from Y Axis:

Example 1: If we have a figure with coordinates (1,2) and (3,4) and a scale factor of 2, then the new coordinates after dilation from Y Axis will be (1,4) and (3,8).

Example 2: If we have a figure with coordinates (2,3) and (4,5) and a scale factor of 0.5, then the new coordinates after dilation from Y Axis will be (2,1.5) and (4,2.5).

Conclusion

Dilation from Y Axis is a mathematical concept that is used to describe the transformation of a figure. It involves stretching or shrinking a figure along the y-axis while leaving the x-axis unchanged. The amount of dilation is determined by a scale factor, which is a constant that multiplies the coordinates of the figure. Dilation from Y Axis has many practical applications in real life, including resizing images and graphics in digital media and scaling drawings and models of buildings and structures in architecture and engineering.

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