Question

1. what is the image of the point a(3, -2) under the reflection in the x - axis? a(3, -2) a(-3, 2) a(-3, -2) a(3, 2)

Explanation:

Step1: Recall the reflection rule

When a point \((x,y)\) is reflected over the \(x\) - axis, the rule is \((x,y)\to(x, - y)\).

Step2: Apply the rule to the given point

For the point \(A(3,-2)\), here \(x = 3\) and \(y=-2\). Using the rule \((x,y)\to(x, - y)\), we substitute \(y=-2\) into \(-y\). So \(-y=-(-2)=2\).

Answer:

\(A'(3,2)\)