To find the new point, start at (-2, -4) and move 10 units to the right, which adds 10 to the x-coordinate, resulting in 8. Then, move 7 units up, adding 7 to the y-coordinate, resulting in 3. Therefore, the new point is (8, 3).
The description "4 units down and 3 units right" refers to a movement in a coordinate plane. Starting from a given point, you would move vertically downward by 4 units and then horizontally to the right by 3 units. This would effectively change the coordinates of the point by decreasing the y-coordinate by 4 and increasing the x-coordinate by 3. The final position would be represented as (x + 3, y - 4) if starting from the point (x, y).
In a one-dimensional number line, moving 15 units to the right from 0 means adding 15 to 0. Therefore, 15 units right of 0 is at the point +15 on the number line. This can also be expressed as the coordinate (15,0) in a Cartesian coordinate system.
A function that translates a point ((x, y)) to the right by (a) units and up by (b) units can be expressed as (f(x, y) = (x + a, y + b)). This means you simply add (a) to the x-coordinate and (b) to the y-coordinate of the original point. In function notation, if (f(x, y)) represents the original point, the translated point can be represented as (f'(x, y) = (x + a, y + b)).
A translation that moves a point 4 units to the right and 5 units down can be described by the rule ( (x, y) \rightarrow (x + 4, y - 5) ). This means that for any point ((x, y)), you add 4 to the x-coordinate and subtract 5 from the y-coordinate to find the new position after the translation.
Twelve units right of 0 on a number line is represented by the point marked as 12. This point is located at the position where you move twelve spaces to the right from the origin (0). It indicates a positive value, and in a coordinate system, it would correspond to the point (12, 0) on a Cartesian plane.
The description "4 units down and 3 units right" refers to a movement in a coordinate plane. Starting from a given point, you would move vertically downward by 4 units and then horizontally to the right by 3 units. This would effectively change the coordinates of the point by decreasing the y-coordinate by 4 and increasing the x-coordinate by 3. The final position would be represented as (x + 3, y - 4) if starting from the point (x, y).
Compare it's position to the origin. The x coordinate is the number of units to the right of the origin. (If it is to the left of the origin the x coordinate is negative.) The y coordinate is the number of units above the origin. (If it is below, the y coordinate is negative.) The point is denoted (x,y) with the x coordinate in place of the x and the y coordinate in place of the y.
That depends on the direction of the point in reference to the original coordinate. If the new point is 5 units to the right of (1,3), then the point is (6,3). If the point is 5 units left of (1,3), then the point is (-4,3). And so on.
In a one-dimensional number line, moving 15 units to the right from 0 means adding 15 to 0. Therefore, 15 units right of 0 is at the point +15 on the number line. This can also be expressed as the coordinate (15,0) in a Cartesian coordinate system.
if a figure is shifted 3 units to the right, you add to the coordinate
A function that translates a point ((x, y)) to the right by (a) units and up by (b) units can be expressed as (f(x, y) = (x + a, y + b)). This means you simply add (a) to the x-coordinate and (b) to the y-coordinate of the original point. In function notation, if (f(x, y)) represents the original point, the translated point can be represented as (f'(x, y) = (x + a, y + b)).
A translation that moves a point 4 units to the right and 5 units down can be described by the rule ( (x, y) \rightarrow (x + 4, y - 5) ). This means that for any point ((x, y)), you add 4 to the x-coordinate and subtract 5 from the y-coordinate to find the new position after the translation.
(0,0) = the origin
Given only the coordinates of that point, one can infer that the point is located 10 units to the right of the y-axis and 40 units above the x-axis, on the familiar 2-dimensional Cartesian space.
6
Twelve units right of 0 on a number line is represented by the point marked as 12. This point is located at the position where you move twelve spaces to the right from the origin (0). It indicates a positive value, and in a coordinate system, it would correspond to the point (12, 0) on a Cartesian plane.
28