Question

$\triangle ijk$ is a translation of $\triangle ijk$. write the translation rule.

$(x, y) \mapsto \left(x + \square, y - \square\
ight)$

Explanation:

Step1: Find coordinates of J and J'

From the graph, \( J(-8, 7) \) and \( J'(1, -1) \).

Step2: Calculate horizontal translation

Horizontal change: \( 1 - (-8) = 9 \). So \( x \) becomes \( x + 9 \).

Step3: Calculate vertical translation

Vertical change: \( -1 - 7 = -8 \), which means \( y \) becomes \( y - 8 \) (since subtracting a negative is adding, but here we see the rule is \( y - \square \), so the vertical translation magnitude is 8).

Answer:

\( (x, y) \to (x + 9, y - 8) \)