Question

multiple choice 10 points which algebraic rule best represents the translation represented by the vector <-1, 4>? ¿qué regla algebraica representa mejor la traducción representada por el vector <-1, 4>? options: (1,4), (x - 4, y - 1), left 1 down 4, (x - 1, y + 4)

Explanation:

Step1: Recall Translation Vector Rule

A translation vector \(\langle h, k
angle\) means we add \(h\) to the \(x\)-coordinate and \(k\) to the \(y\)-coordinate of a point \((x, y)\). So the rule is \((x + h, y + k)\).

Step2: Apply Vector \(\langle -1, 4

angle\)
Here, \(h=-1\) and \(k = 4\). Substituting into the rule, we get \((x+(-1), y + 4)=(x - 1, y + 4)\).

Answer:

\((x - 1, y + 4)\) (the last option)