Question

raiph draws a triangle on the coordinate grid. its vertices are at (7,-3), (4, -7), and (-1,5). he translates this triangle, 4 units up and 2 units to the left. what are the coordinates of the lowest vertex on the translated triangle? (1 point)

(2,-11)

(2,6)

(6,-3)

(2,-3)

Explanation:

Step1: Recall translation rule

For a translation 4 units up and 2 units left, the rule for a point $(x,y)$ is $(x - 2,y + 4)$.

Step2: Apply rule to each vertex

For vertex $(7,-3)$: $(7-2,-3 + 4)=(5,1)$.
For vertex $(4,-7)$: $(4-2,-7 + 4)=(2,-3)$.
For vertex $(-1,5)$: $(-1-2,5 + 4)=(-3,9)$.

Step3: Determine the lowest - y - value vertex

Among $(5,1),(2,-3),(-3,9)$, the vertex with the lowest $y$ - value is $(2,-3)$.

Answer:

$(2,-3)$