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

In the coordinate - plane, points with $x<0$ and $y > 0$ are in Quadrant II. Since $x=-4<0$ and $y = 7>0$ for $P'$, $P'$ is in Quadrant II.

Answer:

Quadrant II