To determine the coordinates of point D after the translation represented by the expression (xy)(x + 6y - 10), we first need the original coordinates of point D. Assuming D has initial coordinates (x, y), the translation modifies these coordinates according to the specified expression. If we apply the translation directly, the new coordinates of D can be calculated by substituting the values of x and y into the expression. However, without the specific coordinates of D and the precise nature of the translation, we cannot provide the exact new coordinates.
When a pre-image undergoes a translation, each coordinate of the pre-image is adjusted by adding a fixed value, known as the translation vector. This means that every point of the pre-image moves the same distance and direction, resulting in a new set of coordinates for the image. The relative positions of the points remain unchanged, preserving the shape and size of the figure. For example, if a point (x, y) is translated by (a, b), its new coordinates will be (x + a, y + b).
In a translation, the original figure is called the "preimage." The figure that results after the translation is referred to as the "image." A translation involves moving the preimage to a new location in the coordinate plane without changing its shape or size.
The input of a transformation on the coordinate plane is called the "preimage." The preimage is the original figure before any transformation, such as translation, rotation, reflection, or dilation, is applied to it. After the transformation, the resulting figure is referred to as the "image."
When the coordinates of a figure are added, the figure is translated or shifted in the coordinate plane. For example, if you add a constant value to each coordinate of the figure's points, it moves uniformly in the direction of that value. This transformation does not change the shape, size, or orientation of the figure; it simply relocates it to a different position.
To translate a figure in a coordinate plane, you add specific values to the x-coordinates and y-coordinates of each point of the figure. For example, if you want to translate a figure 3 units to the right and 2 units up, you would add 3 to each x-coordinate and 2 to each y-coordinate. The result will be the new coordinates of the translated figure, maintaining its shape and orientation.
how does translation a figure vertically affect the coordinates of its vertices
Here's an example: In the coordinate plane, the point is translated to the point . Under the same translation, the points and are translated to and , respectively. What are the coordinates of and ? Any translation sends a point to a point . For the point in the problem, we have the following. So we have . Solving for and , we get and . So the translation is unit to the right and units up. See Figure 1. We can now find and . They come from the same translation: unit to the right and units up. The three points and their translations are shown in Figure 2.
To reflect a figure across the line ( y = x ), you swap the coordinates of each point in the figure. For a point ((a, b)), its reflection would be ((b, a)). This process is applied to every point in the figure, resulting in the entire figure being mirrored across the line ( y = x ).
To rotate a figure 180 degrees clockwise about the origin you need to take all of the coordinates of the figure and change the sign of the x-coordinates to the opposite sign(positive to negative or negative to positive). You then do the same with the y-coordinates and plot the resulting coordinates to get your rotated figure.
When a pre-image undergoes a translation, each coordinate of the pre-image is adjusted by adding a fixed value, known as the translation vector. This means that every point of the pre-image moves the same distance and direction, resulting in a new set of coordinates for the image. The relative positions of the points remain unchanged, preserving the shape and size of the figure. For example, if a point (x, y) is translated by (a, b), its new coordinates will be (x + a, y + b).
translation 2 units up g(1,-2), l(3,3), z(5,0), s(3,-3)
A translation of a figure is when a figure changes it's position, And can be in the direction of up, down, left, right, and maybe diagonal.
In a translation, the original figure is called the "preimage." The figure that results after the translation is referred to as the "image." A translation involves moving the preimage to a new location in the coordinate plane without changing its shape or size.
The input of a transformation on the coordinate plane is called the "preimage." The preimage is the original figure before any transformation, such as translation, rotation, reflection, or dilation, is applied to it. After the transformation, the resulting figure is referred to as the "image."
slide
The y-coordinates.The y-coordinates.The y-coordinates.The y-coordinates.
Translated means "slide." The y coordinates are increased