Question

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

Explanation:

Step1: Recall reflection rule

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

Step2: Find new $x$-coordinate

Assume the original point $F$ has coordinates $(-5, - 5)$ (not shown in steps but inferred from the options and the nature of the problem). Using the formula $2a - x$, substitute $a=-1$ and $x = - 5$. So $2\times(-1)-(-5)=-2 + 5=3$. The $y$-coordinate stays $-5$.

Answer:

(3,-5)

It seems there is a mistake in the provided options as the correct answer (3,-5) is not among them. But following the correct method of reflection over the line $x=-1$ for a point (assuming the original point has appropriate $y = - 5$ value as per the options' $y$-values), the $x$-coordinate of the reflected point should be 3.