Question

triangle abc has vertices a (4,5), b (0,5), and c (3, -1). the triangle is translated 3 units to the left and 1 unit up. what are the coordinates of b after the translation? (1,6) (3,1) (0,0) (-3,6)

Explanation:

Step1: Determine the translation rule

For a translation \(3\) units to the left and \(1\) unit up, the rule for a point \((x,y)\) is \((x - 3,y+1)\).

Step2: Apply the rule to point \(B(0,5)\)

Substitute \(x = 0\) and \(y = 5\) into the rule:
\(x-3=0 - 3=-3\)
\(y + 1=5+1 = 6\)

Answer:

\((-3,6)\)