Question

1. what will be the new position of the given point (3, -5) after reflection across the y-axis? a) (3, 5) b) (-3, -5) c) (-3, 5) d) (3, -5)

Explanation:

Step1: Recall reflection over y - axis rule

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

Step2: Apply the rule to the given point

For the given point \((3,-5)\), here \(x = 3\) and \(y=-5\). Using the reflection rule across the \(y\) - axis, we change the sign of the \(x\) - coordinate. So the new \(x\) - coordinate is \(-3\) and the \(y\) - coordinate remains \(-5\). So the new point is \((-3,-5)\).

Answer:

b) \((-3, - 5)\)