Question

translating a point (1, -1) by 3 units right and 4 units up results in which coordinates?
a. (-4, 3)
b. (4, 3)
c. (-2, -5)
d. (4, -3)

Explanation:

Step1: Recall translation rules

To translate a point \((x,y)\) \(h\) units right and \(k\) units up, the new coordinates are \((x + h,y + k)\). Here, the original point is \((1,-1)\), \(h = 3\) (right), \(k = 4\) (up).

Step2: Calculate new x - coordinate

For the x - coordinate: \(x_{\text{new}}=1 + 3=4\)

Step3: Calculate new y - coordinate

For the y - coordinate: \(y_{\text{new}}=-1 + 4 = 3\)

Answer:

b. \((4,3)\)