Question

1. which figure is the image of △def after a translation? (i, ii, or iii)? write the algebraic rule for the translation using x and y: (x,y)→( , ) 3. the coordinates of △qrs are q(4,3), r(7,3), and s(6,8). if you translate △qrs 4 units to the left and 3 units up, what are the coordinates of s? ( , ) label the vertices of def on the graph. use arrow notation to describe the motion of each vertex of △def after the translation to the image you chose: d(-8,-9)→d( , ) e(-8,-3)→e( , ) f(-4,-8)→f( , )

Explanation:

Step1: Recall translation rule for left - right and up - down

For a translation $a$ units to the left and $b$ units down, the algebraic rule is $(x,y)\to(x - a,y - b)$. Here $a = 4$ and $b=3$.

Step2: Apply the rule to point S

The coordinates of point S are $(6,8)$. Using the rule $(x,y)\to(x - 4,y - 3)$, we substitute $x = 6$ and $y = 8$.
$x'=6 - 4=2$ and $y'=8 - 3 = 5$.

Answer:

$(2,5)$