The coordinates of the specified vertex after the given sequence of transformations is given by;
Q' = (3, -3).
What is a translation?
In Mathematics, the translation of a geometric figure to the right simply means adding a digit to the value on the x-coordinate (x-axis) of the pre-image of a function while a geometric figure that is translated up simply means adding a digit to the value on the y-coordinate (y-axis) of the pre-image or parent function.
Mathematically, a horizontal translation to the right is modeled by this mathematical expression g(x) = f(x + N) while a vertical translation to the positive y-direction (upward) is modeled by this mathematical expression g(x) = f(x) + N.
Where:
- N represents an integer.
- g(x) and f(x) represent a function.
By translating the coordinate Q (1, 3) two (2) units to the right, we have the following:
Coordinate Q (1, 3) → Coordinate Q' (1 + 2, 3) = Q (3, 3)
In Mathematics, a reflection across the x-axis would maintain the same x-coordinate while the sign of the y-coordinate would change from positive to negative. Therefore, a reflection over the x-axis is given by this transformation rule:
(x, y) → (x, -y)
Coordinate Q' (3, 3) → (3, -3).
Read more on reflection here: brainly.com/question/10260342
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