Question

determining translations on the coordinate plane
what is the y-coordinate of point d after a translation of
(x, y) → (x + 6, y − 4)?
d(3 5, \boxed{})
(image of a coordinate plane with a triangle labeled with points d, e, f)

Explanation:

Step1: Find the original coordinates of point D

From the coordinate plane, the original coordinates of point \(D\) are \((- 3,5)\).

Step2: Apply the translation rule to the \(y\) - coordinate

The translation rule is \((x,y)\to(x + 6,y-4)\). For the \(y\) - coordinate, we use the formula \(y_{\text{new}}=y_{\text{old}}-4\). Substitute \(y_{\text{old}} = 5\) into the formula: \(y_{\text{new}}=5-4\).

Answer:

\(1\)