Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

question what is the image of (-4, -2) after a reflection over the x - …

Question

question
what is the image of (-4, -2) after a reflection over the x - axis?
answer attempt 2 out of 2
( ) submit answer

Explanation:

Step1: Recall reflection rule

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

Step2: Apply the rule

Given the point $(-4,-2)$, where $x=-4$ and $y = - 2$. After reflection over the $x - axis$, the $x$-coordinate remains the same, and the $y$-coordinate changes sign. So the new $y$-coordinate is $-(-2)=2$.

Answer:

$(-4,2)$