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)).
yup.
A transformation that yields the same result as a rotation of 180 degrees around the origin followed by a reflection over the y-axis is a reflection over the x-axis. When you rotate a point 180 degrees around the origin, its coordinates change to their negatives, and reflecting that result over the y-axis switches the sign of the x-coordinate again, effectively mirroring it across the x-axis. Thus, the combined effect is equivalent to just reflecting over the x-axis.
It is (2, -6)
0
In a sense, yes. This type of reflection, in which a function is reflected over both the x and y-axes, is a possible characteristic of odd functions and is known as origin reflection, or reflection about the origin.
Reflection in the y-axis.
To reflect a point across the origin, you simply change the sign of both the x- and y-coordinates of the point. This transformation involves multiplying the coordinates by -1.
yup.
Each reflection produces a mirror image.=================================Answer #2:With the initial point at (0, 0) ... the origin of coordinates ...-- the first reflection, across x = -3, moves the point to (-6, 0), and-- the second reflection, around y = -3, moves it to (-6, -6) .
It is (2, -6)
0
Yes.
In a sense, yes. This type of reflection, in which a function is reflected over both the x and y-axes, is a possible characteristic of odd functions and is known as origin reflection, or reflection about the origin.
Translation and dilation.
The translation for 'nacion' in English is 'country'. It is a word of Spanish origin and is a noun. Another English translation for 'nacion' is 'nation'.
The name Barbara has no Hebrew translation. Only names of Hebrew origin have Hebrew translations.
Dorita is of English Origin, meaning of the name Dorothy