Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

graph the image of z(-3, -5) after a reflection over the x - axis.

Question

graph the image of z(-3, -5) after a reflection over the x - axis.

Explanation:

Step1: Recall reflection rule

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

Step2: Apply rule to point Z

Given point $Z(-3,-5)$, applying the rule, we get $(-3,-(-5))=(-3,5)$.

Answer:

The image of $Z(-3,-5)$ after reflection over the $x -$axis is $(-3,5)$. To graph it, locate the point $(-3,5)$ on the coordinate - plane, which is 3 units to the left of the $y -$axis and 5 units above the $x -$axis.