Question

1. what is the reflection across the x axis of point ( a(4,1) )? a. ( (0,-1) ) b. ( (-4,1) ) c. ( (-4,-1) ) d. ( (4,-1) )

Explanation:

Step1: Recall the reflection rule

When reflecting a point \((x,y)\) across the \(x -\)axis, the \(x -\)coordinate remains the same, and the \(y -\)coordinate changes its sign. The rule is \((x,y)\to(x, - y)\).

Step2: Apply the rule to point \(A(4,1)\)

For the point \(A(4,1)\), here \(x = 4\) and \(y=1\). Using the rule \((x,y)\to(x, - y)\), we substitute \(x = 4\) and \(y = 1\) into the formula. So the reflected point is \((4,-1)\).

Answer:

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