Question

△fun is reflected over x = -1. what are the coordinates for n after a reflection

Explanation:

Step1: Recall reflection formula

For a point $(x,y)$ reflected over the vertical line $x = a$, the new $x -$coordinate is $2a - x$ and the $y -$coordinate remains the same. Here $a=-1$ and the point $N$ has coordinates $(-3,0)$.

Step2: Calculate new x - coordinate

Substitute $a=-1$ and $x = - 3$ into the formula $x'=2a - x$. So $x'=2\times(-1)-(-3)=-2 + 3=1$.

Step3: Determine new y - coordinate

The $y$-coordinate of the reflected point remains the same as the original point's $y$-coordinate. So $y' = 0$.

Answer:

$(1,0)$