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What is the image point of (8,−2)(8,-2)(8,−2) after a translation right 5 units and up 2 units?

If you we're at the point (8,-2) and you went 5 units right and 2 units up, you'd be at (13,0).


What are the coordinates of the point (12) after a translation right 9 units and up 3 units?

The coordinates are (10, 5).


How to translate the coordinates of a point?

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.


Which sequence of transformation produces an image that is not congruent to the original figure?

A translation of 4 units to the right followed by a dilation of a factor of 2


What is the translation of a point z to a two units to the right of z?

(z,z+2) or (z+2,z)


What translation moves a triangle 4 units to the right and 8 units up?

the translation of 2 is the one that triangle moves by 4 units right and 8 units up


What is the rule for a reflection across the origin followed by a translation 3 units to the right and 4 units up?

A reflection across the origin transforms a point ((x, y)) to ((-x, -y)). After this reflection, a translation of 3 units to the right and 4 units up shifts the point to ((-x + 3, -y + 4)). Therefore, the combined rule for the transformation is given by the mapping ((x, y) \to (-x + 3, -y + 4)).


What is a function for a translation of a units to the right and b units up?

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)).


Point (a b) is translated 4 units down. What are the coordinates of the image of (a b)?

They are (a, b-4).


Which rule describes a translation that is 8 units to the right and 2 units up?

(x,y) > (x + 8, y + 2)


What are the coordinates of a point two units to the right of the y-axis and three units above x-axis?

The coordinates of a point two units to the right of the y-axis and three units above the x-axis would be (2,3).


What rule describes a translation that is 3 units to the right and 5 units down?

For this translation, you need to replace every occurence of "x" with "x-3", and every occurence of "y" with "y+5".