Question

on the graph shown, if point b were reflected across the x - axis, which quadrant would it then be in?

Explanation:

Step1: Determine the original quadrant of point B

Point B is in the fourth quadrant (IV).

Step2: Recall the rule for reflection across the x - axis

When a point \((x,y)\) is reflected across the \(x\) - axis, the new point is \((x,-y)\).

Step3: Analyze the quadrant after reflection

Since point B is in the fourth quadrant (where \(x>0,y < 0\)), after reflection across the \(x\) - axis (\(x\) remains positive and \(y\) becomes positive), the new point will be in the first quadrant (I).

Answer:

The first quadrant (I)