Answer:
C. (1, 3)
Step-by-step explanation:
The x-coordinate of a point is the measure of the horizontal distance a point is to the right of the y-axis. When the point is translated 4 units to the left, its x-coordinate is reduced by 4: x ⇒ x-4.
The y-coordinate of a point is the measure of the vertical distance a point is above the x-axis. When the point is translated 2 units up, its y-coordinate is increased by 2: y ⇒ y+2.
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translated points
The translation 4 units left and 2 units up can be summarized by ...
(x, y) ⇒ (x -4, y +2)
Then the translated vertices are ...
Q(1, 3) ⇒ Q'(1 -4, 3 +2) = Q'(-3, 5)
R(5, 1) ⇒ R'(5 -4, 1 +2) = R'(1, 3) . . . . . . . matches choice C
S(3, 5) ⇒ S'(3 -4, 5 +2) = S'(-1, 7)
Of the points listed, the point (1, 3) matches a translated vertex.
