Question

reflections find the coordinates
the point b(-1,-2) is reflected over the y-axis. what are the coordinates of the resulting point, b?
image of a coordinate grid with point b plotted
options:
b(-1, -2)
b(1, 2)
b(-1, 2)
b(1, -2)

Explanation:

Step1: Recall reflection over y - axis rule

When a point \((x,y)\) is reflected over the \(y\) - axis, the rule is that the \(x\) - coordinate changes its sign and the \(y\) - coordinate remains the same. Mathematically, if we have a point \(P(x,y)\), after reflection over the \(y\) - axis, the new point \(P'\) has coordinates \((-x,y)\).

Step2: Apply the rule to point \(B(-1,-2)\)

For the point \(B(-1,-2)\), here \(x=-1\) and \(y = - 2\). Using the reflection over \(y\) - axis rule, the new \(x\) - coordinate is \(-x=-(-1)=1\) and the \(y\) - coordinate remains \(-2\). So the coordinates of \(B'\) are \((1,-2)\).

Answer:

\(B'(1,-2)\)