Question

question 5. the triangle shown is translated to the left 3. what are the new coordinates of point b? a. (-1,4) b. (2,7) c. (5,4) d. (2,1)

Explanation:

Step1: Determine the original coordinates of point B

From the graph, the original coordinates of point B are \((2,4)\).

Step2: Apply the translation rule

When a point \((x,y)\) is translated to the left by \(a\) units, the new \(x -\)coordinate is \(x - a\) and the \(y -\)coordinate remains the same. Here \(a = 3\), \(x=2\), \(y = 4\). The new \(x\) - coordinate is \(2-3=-1\), and the \(y\) - coordinate is \(4\).

Answer:

A. \((-1,4)\)