Question

what is the y - coordinate of point d after a translation of (x, y) → (x + 6, y - 4)? d(3.5, )

Explanation:

Step1: Find original x - coordinate of D

From the graph, point D is at (- 2.5,5).

Step2: Use translation rule for x - coordinate

The translation rule is $(x,y)\to(x + 6,y - 4)$. For the x - coordinate of D, if $x=-2.5$ and $x'=x + 6$, then $x'=-2.5+6 = 3.5$ (which is consistent with the given $x$-coordinate of $D'$).

Step3: Use translation rule for y - coordinate

For the y - coordinate of D, $y = 5$. Using the rule $y'=y - 4$, substitute $y = 5$ into it. Then $y'=5-4=1$.

Answer:

1