Question

graph the image of △stu after a translation 4 units left and 5 units up.

Explanation:

Step1: Recall translation rule

For a point $(x,y)$ translated 4 units left and 5 units up, the new - point is $(x - 4,y + 5)$.

Step2: Identify coordinates of vertices

Let's assume the coordinates of $S=(7,-4)$, $T=(7,5)$, $U=(1,-3)$.

Step3: Translate point S

For point $S(7,-4)$, the new $x$ - coordinate is $7-4 = 3$, and the new $y$ - coordinate is $-4 + 5=1$. So the new point $S'=(3,1)$.

Step4: Translate point T

For point $T(7,5)$, the new $x$ - coordinate is $7-4 = 3$, and the new $y$ - coordinate is $5 + 5 = 10$. So the new point $T'=(3,10)$.

Step5: Translate point U

For point $U(1,-3)$, the new $x$ - coordinate is $1-4=-3$, and the new $y$ - coordinate is $-3 + 5 = 2$. So the new point $U'=(-3,2)$.

Step6: Graph the new triangle

Plot the points $S'(3,1)$, $T'(3,10)$, and $U'(-3,2)$ on the coordinate - plane and connect them to form $\triangle S'T'U'$.

Answer:

Graph the points $S'(3,1)$, $T'(3,10)$, $U'(-3,2)$ and connect them to get the image of $\triangle STU$ after the given translation.