Question

the figure below is translated down 5 units. what are the coordinates of the image of point b after this transformation?

Explanation:

1. First, assume the coordinates of point B before - translation:

• Let's assume the coordinates of point B are \((x,y)\). From the graph, we can estimate that the coordinates of point B are \((4,6)\) (by looking at the position of the point on the x - axis and y - axis).

1. Then, apply the translation rule:

• The rule for a translation down 5 units is \((x,y)\to(x,y - 5)\).
• Here, \(x = 4\) and \(y = 6\).
• Substitute the values into the rule: \(y-5=6 - 5=1\), and \(x\) remains the same (\(x = 4\)).

1. Finally, get the coordinates of the translated point:

• The coordinates of the image of point B after the translation are \((4,1)\).

Step1: Identify original coordinates

Assume \(B=(4,6)\)

Step2: Apply translation rule

\((x,y)\to(x,y - 5)\), so \((4,6)\to(4,6 - 5)\)

Step3: Calculate new coordinates

\(6-5 = 1\), new coordinates are \((4,1)\)

Answer:

\((4,1)\)