Question

use the image to answer the question. for △fun, x = -1. what are the coordinates for f after a reflection?

Explanation:

Step1: Find distance to axis of reflection

The axis of reflection is $x = - 1$. The $x$-coordinate of point $F$ is $x=-5$. The distance between $x = - 5$ and $x=-1$ is $|-1-(-5)|=4$.

Step2: Calculate new x - coordinate

To find the $x$-coordinate of the reflected point $F'$, we move the same distance on the other side of the axis of reflection. So the new $x$-coordinate is $-1 + 4=3$.

Step3: Keep y - coordinate

The $y$-coordinate remains the same during a reflection over a vertical line. The $y$-coordinate of $F$ is $y = 5$, so the $y$-coordinate of $F'$ is also $y = 5$.

Answer:

$(3,5)$