Answer:
To translate a triangle on a graph, you need to move each vertex of the triangle by the same amount of units in the same direction. The rule for the translation is: A(x1, y1) → A ′ (x1 ± a, y1 ± b), where a and b are the horizontal and vertical shifts respectively.
In your problem, you need to translate triangle RST 4 units down and 3 units left. That means a = -3 and b = -4. So, using the rule, you can find the new coordinates of each vertex as follows:
R(-7, -2) → R'(-7 - 3, -2 - 4) = R'(-10, -6)
S(8, -1) → S'(8 - 3, -1 - 4) = S'(5, -5)
T(-1, -1) → T'(-1 - 3, -1 - 4) = T'(-4, -5)
Therefore, the translated coordinates of triangle RST are R'(-10, -6), S'(5, -5), T'(-4, -5). This corresponds to option C in the multiple choice options.
Explanation: