Question

after translating a point (4,5) 2 units left and 3 units down, what are the new coordinates?
a. (2,8)
b. (2,2)
c. (8,2)
d. (6,8)

Explanation:

Step1: Analyze horizontal translation

For a point \((x,y)\), moving left by \(a\) units means subtracting \(a\) from the \(x\)-coordinate. Here, the original \(x\)-coordinate is \(4\), and we move 2 units left, so \(x = 4 - 2 = 2\).

Step2: Analyze vertical translation

Moving down by \(b\) units means subtracting \(b\) from the \(y\)-coordinate. The original \(y\)-coordinate is \(5\), and we move 3 units down, so \(y = 5 - 3 = 2\).

Answer:

b. \((2,2)\)