Question

given △abc with points a(-2, 3), b(1, 0), and c(3, 1), graph it, and its image when translated as indicated. then fill in the points for △abc in the space provided. ... left 3 (izquierda 3)
answer:
a: ( type your answer... , type your answer... )
b: ( type your answer... , type your answer... )
c: ( type your answer... , type your answer... )

Explanation:

Step1: Recall translation rule (left 3)

To translate a point \((x, y)\) left by 3 units, we subtract 3 from the \(x\)-coordinate: \((x - 3, y)\).

Step2: Translate point A(-2, 3)

For \(A(-2, 3)\), new \(x\): \(-2 - 3 = -5\), \(y\) remains 3. So \(A'(-5, 3)\).

Step3: Translate point B(1, 0)

For \(B(1, 0)\), new \(x\): \(1 - 3 = -2\), \(y\) remains 0. So \(B'(-2, 0)\).

Step4: Translate point C(3, 1)

For \(C(3, 1)\), new \(x\): \(3 - 3 = 0\), \(y\) remains 1. So \(C'(0, 1)\).

Answer:

\(A'(-5, 3)\), \(B'(-2, 0)\), \(C'(0, 1)\)