Question

1. what are the coordinates of the point $(-1, 4)$ after it is translated 3 units to the right and 2 units down?

a. $(-4, 6)$
b. $(-4, 2)$
c. $(2, 2)$
d. $(2, 6)$

Explanation:

Step1: Recall translation rules

For a point \((x, y)\), translating \(h\) units right (add \(h\) to \(x\)) and \(k\) units down (subtract \(k\) from \(y\)) gives \((x + h, y - k)\).

Step2: Apply to given point

Given point \((-1, 4)\), \(h = 3\) (right), \(k = 2\) (down).
New \(x\): \(-1 + 3 = 2\)
New \(y\): \(4 - 2 = 2\)
So new coordinates: \((2, 2)\)

Answer:

c. \((2, 2)\)