Question

1. which of the following is a result of reflecting a point ((4, -3)) over the (x)-axis?

a. ((-4, -3))

b. ((4, 3))

c. ((-4, 3))

d. ((4, -3))

Explanation:

Step1: Recall reflection over x - axis rule

The rule for reflecting a point \((x,y)\) over the \(x\) - axis is that the \(x\) - coordinate remains the same and the \(y\) - coordinate changes its sign. So, if we have a point \((x,y)\), after reflection over the \(x\) - axis, it becomes \((x, - y)\).

Step2: Apply the rule to the given point

We are given the point \((4,-3)\). Here, \(x = 4\) and \(y=-3\). Using the reflection rule over the \(x\) - axis, the new \(x\) - coordinate is still \(4\), and the new \(y\) - coordinate is \(-(-3)=3\). So the reflected point is \((4,3)\).

Answer:

b. \((4,3)\)