Question

if you translate a point (3,2) 4 units right and 5 units down, where will it end up?

a. (7,−3)

b. (3,−3)

c. (1,7)

d. (7,7)

Explanation:

Step1: Analyze horizontal translation

For a point \((x,y)\), translating right by \(a\) units changes \(x\) to \(x + a\). Here, \(x = 3\), \(a = 4\), so new \(x\) is \(3+4 = 7\).

Step2: Analyze vertical translation

Translating down by \(b\) units changes \(y\) to \(y - b\). Here, \(y = 2\), \(b = 5\), so new \(y\) is \(2 - 5=-3\).

Answer:

a. \((7, -3)\)