Which transformations could have been used to move the platter to the new location? A. a translation 9 units left and a translation 3 units down B. a reflection across MN and a translation 4 units left C. a reflection across MN and a translation 8 units left D. a rotation 180° clockwise about N and a translation 4 units left
A translation of 4 units to the right followed by a dilation of a factor of 2
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)).
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)).
You have to add on the number that you want to transform the graph by. For example to move the graph 2 units along the x-axis the transformation would be f(x+2).
(x1, y1) = (x - 8, y + 9)
translation
Which transformations could have been used to move the platter to the new location? A. a translation 9 units left and a translation 3 units down B. a reflection across MN and a translation 4 units left C. a reflection across MN and a translation 8 units left D. a rotation 180° clockwise about N and a translation 4 units left
A translation of 4 units to the right followed by a dilation of a factor of 2
the translation of 2 is the one that triangle moves by 4 units right and 8 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)).
(2,1)
The coordinates are (10, 5).
(x,y) > (x + 8, y + 2)
For this translation, you need to replace every occurence of "x" with "x-3", and every occurence of "y" with "y+5".
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).
Translating a point 4 units to the right means adding 4 to the x-coordinate, and translating it 5 units down means subtracting 5 from the y-coordinate. So, if the original point is (x, y), the new point after the translation would be (x+4, y-5). This transformation is a type of rigid transformation known as a translation, which moves the entire figure without changing its size or shape.