Question

1. 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 \((1, -1)\), \(h = 3\) (units right), and \(k = 4\) (units up).

Step2: Calculate new x - coordinate

The new \(x\) - coordinate is \(1+3 = 4\).

Step3: Calculate new y - coordinate

The new \(y\) - coordinate is \(-1 + 4=3\).

So the translated point is \((4, 3)\).

Answer:

a. (4, 3)