what is the pre - image of vertex a if the image shown on the graph was created by a reflection across the y…
what is the pre - image of vertex a if the image shown on the graph was created by a reflection across the y - axis? (-8,-6) (-6,8) (8,6) (6,-8)
Answer
Answer:
C. (8, 6)
Explanation:
Step1: Recall reflection rule
The rule for reflecting a point $(x,y)$ across the $y$-axis is $(-x,y)$.
Step2: Let pre - image be $(x,y)$
If the image of the point $(x,y)$ after reflection across the $y$-axis is $A'(- 8,6)$. Then using the rule $(-x,y)=(-8,6)$.
Step3: Solve for $x$ and $y$
We have $-x=-8$ and $y = 6$. Solving $-x=-8$ gives $x = 8$. So the pre - image is $(8,6)$.