Question

1. a triangle with vertices at the points x(2, 1) y(1, -4) and z(-2, -2) is reflected over the y axis. what are the new coordinates of y?

Explanation:

Step1: Recall reflection rule

When reflecting a point $(x,y)$ over the y - axis, the rule is $(-x,y)$.

Step2: Apply rule to point Y

The coordinates of point Y are $(1, - 4)$. Using the rule $(-x,y)$, we get $x = 1$, so $-x=-1$ and $y=-4$. The new coordinates of $Y'$ are $(-1,-4)$.

Answer:

$(-1,-4)$