Question

figure efghk as shown below is to be transformed to figure efghk using the rule (x, y)→(x + 8, y + 5):
which coordinates will best represent point h?
(4,8)
(1,11)
(12,8)
(9,11)

Explanation:

Step1: Find the coordinates of point H

From the graph, the coordinates of point H are \((- 4,3)\).

Step2: Apply the transformation rule \((x,y)\to(x + 8,y + 5)\)

For the \(x\) - coordinate: \(x=-4\), after transformation \(x'=-4 + 8=4\).
For the \(y\) - coordinate: \(y = 3\), after transformation \(y'=3+5 = 8\).

Answer:

\((4,8)\)