Question

graph the image of △qrs 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: Identify vertices of $\triangle QRS$

Let's assume the coordinates of the vertices of $\triangle QRS$ are $Q(x_1,y_1)$, $R(x_2,y_2)$ and $S(x_3,y_3)$.

Step3: Apply reflection rule to each vertex

For vertex $Q(x_1,y_1)$, its image $Q'(x_1,-y_1)$; for vertex $R(x_2,y_2)$, its image $R'(x_2,-y_2)$; for vertex $S(x_3,y_3)$, its image $S'(x_3,-y_3)$.

Step4: Plot the new triangle

Plot the points $Q'$, $R'$ and $S'$ on the coordinate - plane and connect them to form the reflected triangle $\triangle Q'R'S'$.

Since the coordinates of the vertices are not given explicitly in the problem description, we can't give the exact numerical coordinates of the reflected triangle. But the general procedure for graphing the reflected triangle over the $x - axis$ is as described above.

Answer:

Follow the steps above to graph the reflected $\triangle QRS$ over the $x - axis$. Plot the reflected vertices and connect them to form the new triangle.