Question

the coordinates of $\triangle def$ are $d(4,3)$, $e(7,3)$, and $f(6,8)$. if you translate $\triangle def$ 4 units left and 3 units up, what are the coordinates of $f$?
the coordinates of $f$ are \\(\square\\) (type an ordered pair.)

Explanation:

Step1: Recall translation rules

To translate a point \((x,y)\) \(a\) units left and \(b\) units up, we subtract \(a\) from the \(x\)-coordinate and add \(b\) to the \(y\)-coordinate. The new coordinates are \((x - a,y + b)\).

Step2: Identify coordinates of F

The coordinates of \(F\) are \((6,8)\). We are translating 4 units left (so \(a = 4\)) and 3 units up (so \(b=3\)).

Step3: Calculate new x - coordinate

For the \(x\)-coordinate: \(x=6 - 4=2\)

Step4: Calculate new y - coordinate

For the \(y\)-coordinate: \(y = 8+3 = 11\)

Answer:

\((2,11)\)