Question

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

Explanation:

Step1: Recall reflection formula

The formula for reflecting a point $(x,y)$ over the line $x = a$ is $(2a - x,y)$. Here $a=-1$ and the point $F$ has coordinates $(-5,5)$.

Step2: Calculate new x - coordinate

Substitute $a=-1$ and $x = - 5$ into $2a - x$. We get $2\times(-1)-(-5)=-2 + 5=3$. The y - coordinate remains the same. So the new coordinates of $F$ after reflection over the line $x=-1$ are $(3,5)$.

Answer:

$F'(3,5)$