Question

semester a
if the triangle on the grid is translated by using the rule $(x,y)\to(x + 5,y - 2)$, what will be the coordinates of $b$?
$(5,-2)$
$(0,-2)$
$(5,-7)$
$(-2,0)$

Explanation:

Step1: Find the original coordinates of point B

From the graph, the coordinates of point B are \((-5,0)\).

Step2: Apply the translation rule \((x,y)\to(x + 5,y-2)\)

For the \(x\)-coordinate: \(x=-5\), after translation \(x'=-5 + 5=0\).
For the \(y\)-coordinate: \(y = 0\), after translation \(y'=0-2=-2\).

Answer:

\((0,-2)\)