Question

9 find the coordinate of the image of b (4, 0) after a reflection over the y-axis. image of a coordinate grid with x-axis from -10 to 10, y-axis from -10 to 10, and point b at (4, 0) answer: a (0, 4) (0, -4) (-4, 0)

Explanation:

Step1: Recall reflection over y - axis rule

The rule for reflecting a point \((x,y)\) over the \(y\) - axis is \((x,y)\to(-x,y)\).

Step2: Apply the rule to point \(B(4,0)\)

For the point \(B(4,0)\), where \(x = 4\) and \(y=0\), when we apply the reflection over the \(y\) - axis rule, we substitute \(x\) with \(-x\). So \(x = 4\) becomes \(- 4\) and \(y\) remains \(0\). So the image of \(B(4,0)\) after reflection over the \(y\) - axis is \((-4,0)\).

Answer:

\((-4,0)\)