Question

the graph shows quadrilateral qrst. what are the coordinates of the vertices of the image created by reflecting the quadrilateral across the x - axis? (-4, 5) (-4,-2) (-2,-4) (-2,-1) (2,-4) (2,-1) (4,-5) (4,-2)

Explanation:

Step1: Recall reflection rule

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

Step2: Find coordinates of reflected points

Let's assume the coordinates of $Q$ are $(-2,1)$, after reflection across the $x -$axis, it becomes $(-2,-1)$.
Let's assume the coordinates of $R$ are $(-4,2)$, after reflection across the $x -$axis, it becomes $(-4,-2)$.
Let's assume the coordinates of $S$ are $(-4,5)$, after reflection across the $x -$axis, it becomes $(-4,-5)$.
Let's assume the coordinates of $T$ are $(-2,4)$, after reflection across the $x -$axis, it becomes $(-2,-4)$.

Answer:

$Q(-2,-1)$, $R(-4,-2)$, $S(-4,-5)$, $T(-2,-4)$