Question

1. what is the new x - coordinate of the image point x after a reflection over the y - axis? explain/show point x(-7,?) only 0,1,2,3,4,5,6,7,8,9,., - are allowed in your answer. answers that are mixed numbers must be entered as an improper fraction or decimal.

Explanation:

Step1: Recall reflection rule

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

Step2: Apply rule to given point

The given point is $X(-7,2)$. Using the rule $(x,y)\to(-x,y)$, where $x = - 7$ and $y = 2$, we get $(-(-7),2)$.

Step3: Simplify the x - coordinate

$-(-7)=7$, so the new point $X'$ has coordinates $(7,2)$ and the new x - coordinate is 7.

Answer:

7