Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

point p is located at (-4, -7). p is reflected across the x - axis to c…

Question

point p is located at (-4, -7). p is reflected across the x - axis to create p. in which quadrant is p located?
quadrant i
quadrant ii
quadrant iii
quadrant iv

Explanation:

Step1: Recall reflection rule

When a point $(x,y)$ is reflected across the $x -$axis, the new point is $(x,-y)$.

Step2: Apply rule to point P

Given $P(-4,-7)$, after reflection across the $x -$axis, $P'$ has coordinates $(-4,7)$.

Step3: Determine quadrant

Points with negative $x$ - coordinate and positive $y$ - coordinate are in Quadrant II.

Answer:

Quadrant II