Question

transform b (x,y) to b (-x,y). what will be the coordinates of the image? (-2,-1) (2,-1) (1,-2) (-1,2)

Explanation:

Step1: Understand the transformation

The transformation is from $B(x,y)$ to $B'(-x,y)$. This means we change the sign of the $x -$coordinate while keeping the $y -$coordinate the same.

Step2: Analyze the options

We need to find the option where the $x -$coordinate of the original point is negated and the $y -$coordinate remains unchanged.

Answer:

We are not given the original coordinates of point $B$ in the problem - statement. But if we assume the original coordinates of $B$ are $(2, - 1)$ (by looking at the options), then applying the transformation $B(x,y)\to B'(-x,y)$, for $x = 2$ and $y=-1$, we get $B'(-2,-1)$. So the answer is $(-2,-1)$.