Question

a triangle is drawn on the coordinate plane. it is translated 4 units right and 3 units down. which rule describetranslation?
○ $(x, y) \
ightarrow (x + 3, y - 4)$
○ $(x, y) \
ightarrow (x + 3, y + 4)$
○ $(x, y) \
ightarrow (x + 4, y - 3)$
○ $(x, y) \
ightarrow (x + 4, y + 3)$

Explanation:

Step1: Analyze the x - coordinate translation

When a point is translated \(a\) units to the right, the rule for the \(x\) - coordinate is \(x\to x + a\). Here \(a = 4\), so the \(x\) - coordinate of the point \((x,y)\) becomes \(x+4\).

Step2: Analyze the y - coordinate translation

When a point is translated \(b\) units down, the rule for the \(y\) - coordinate is \(y\to y - b\). Here \(b = 3\), so the \(y\) - coordinate of the point \((x,y)\) becomes \(y - 3\).

Answer:

\((x,y)\to(x + 4,y-3)\) (the third option)