Question

for △fun, x = -1. what are the coordinates for f after a reflection? (1 point) f (-1,4) f (-5,-5) f (5,-5) f (3,5)

Explanation:

Step1: Recall reflection formula

For a reflection over the line $x = a$, the formula for the $x$-coordinate of a point $(x,y)$ is $x'=2a - x$, and the $y$-coordinate remains the same, $y'=y$. Here $a=- 1$ and the point $F$ has coordinates $(-5,5)$.

Step2: Calculate new $x$-coordinate

Using the formula $x'=2a - x$, substitute $a=-1$ and $x = - 5$. So $x'=2\times(-1)-(-5)=-2 + 5=3$.

Step3: Determine new $y$-coordinate

The $y$-coordinate remains the same, so $y' = 5$.

Answer:

F' (3,5)