Question

1. # If A Translation Maps Point (3, 2) To (4, 5); Or T : (3, 2) (4, 5), Indicate The Image For (2, 4).

Understanding the basics of translation and mapping is key for anyone taking courses such as geometry. And one of the most common questions asked about translations is, “If a translation maps point (3,2) to (4,5); or T: (3,2) (4,5), indicate the image for (2,4).” In this blog post, we will breakdown the concept of translation and mapping in order to answer this question. We’ll discuss what a translation is, how it works in terms of coordinates and equations, and more. By the end of this article, you’ll have a clear understanding of how to calculate and identify images with translations. Let’s get started!

## What is a translation?

A translation is a mapping from one space to another that preserves certain properties. In particular, a translation maps points to points and lines to lines. If we have a translation T : (, ) (, ), then the image of the point (, ) is the point (, ).

## What is the image for (2, 4)?

The image for (2, 4) is (6, 8).

## How to calculate the image for (2, 4)

Assuming you have a translation function T that maps points (x, y) to (x’, y’), the image for (2, 4) would be calculated as follows:

First, substitute 2 for x and 4 for y in the equation T(x, y) = (x’, y’). This gives you T(2, 4) = (x’, y’).

Next, solve for x’ and y’. This gives you x’ = 2 + 4y and y’ = -2x + 8.

Finally, plug in 2 for x and 4 for y in the equations for x’ and y’. This gives you the image coordinates of (6, 12).

## Conclusion

In conclusion, if a translation maps point (3, 2) to (4, 5), or T : (3, 2) (4, 5), the image for (2 , 4) would be (-1 , 6). Remember to consider the direction of your mapping vector as well as its magnitude when determining the image of a point under a given transformation. With this knowledge in tow you will have no problem maneuvering through all sorts of transformations.

2. If you’re trying to figure out the image for (2, 4), then you must be trying to understand the concept of translation maps.

A translation map is a graphical representation of a mathematical equation. It is a way of moving points in the same direction, either horizontally or vertically.

In simpler terms, a translation map is a way of moving points on a graph to match a specific set of coordinates. For example, if a translation map points (3, 2) to (4, 5), it means that when you move the point (3, 2) to the right four units and up five units, it will match the coordinates (4, 5).

So, how does that relate to the image for (2, 4)?

To find out, we’ll need to look at the given translation map: T : (3, 2) (4, 5). This tells us that we need to move the point (3, 2) to the right four units and up five units in order to match the coordinates (4, 5).

Since the coordinates for (2, 4) are two units to the left of (3, 2), this means that when we apply the translation map to (2, 4), we will get (1, -1).

Therefore, the image for (2, 4) is (1, -1).

By understanding translation maps, you can easily figure out the image for any given coordinates!