Question

unit 4 transformations > lesson 3 translations as functions linda draws a triangle on the coordinate grid with vertices at (1,2), (3, - 4), and (7,0). she translates this triangle 3 units to the left and 1 unit down. what are the coordinates of the rightmost vertex on her translated triangle? (1 point)

Explanation:

Step1: Recall translation rule

For a left - shift of $a$ units and a down - shift of $b$ units, the transformation rule for a point $(x,y)$ is $(x - a,y - b)$. Here $a = 3$ and $b=1$.

Step2: Identify rightmost vertex

The original vertices are $(1,2),(3, - 4),(7,0)$. The rightmost vertex has the largest $x$ - coordinate, which is $(7,0)$.

Step3: Apply translation

Using the rule $(x - a,y - b)$ with $x = 7,y = 0,a = 3,b = 1$, we get $(7-3,0 - 1)$.
$(7-3,0 - 1)=(4,-1)$

Answer:

$(4,-1)$