Question

find the coordinates of the figure after
reflecting in the y-axis.
w(-1,5), x(-5,4), y(-4,4)
w:
x:
y:

Explanation:

Step1: Recall reflection over y - axis rule

The rule for reflecting a point $(x,y)$ over the $y$ - axis is $(x,y)\to(-x,y)$.

Step2: Find $W'$

For point $W(-1,5)$, using the reflection rule, we substitute $x = - 1$ into $-x$. So $-x=-(-1) = 1$ and $y = 5$ remains the same. Thus, $W'=(1,5)$.

Step3: Find $X'$

For point $X(-5,4)$, using the reflection rule, $-x=-(-5)=5$ and $y = 4$ remains the same. So $X'=(5,4)$.

Step4: Find $Y'$

For point $Y(-4,4)$, using the reflection rule, $-x=-(-4) = 4$ and $y = 4$ remains the same. So $Y'=(4,4)$.

Answer:

$W'(1, 5)$, $X'(5, 4)$, $Y'(4, 4)$