Question

reflect the figure over the line $y=-1$. plot all of the points of the reflected figure. you may click a plotted point to delete it.

Explanation:

Step1: Identify original points

Original triangle points: $(-8, 2)$, $(-4, 1)$, $(-3, 7)$

Step2: Reflection formula for $y=k$

For a point $(x,y)$, reflection over $y=-1$:
New $y$-coordinate: $2(-1) - y = -2 - y$; $x$-coordinate stays same.

Step3: Calculate reflected point 1

For $(-8,2)$: $y=-2-2=-4$ → $(-8, -4)$

Step4: Calculate reflected point 2

For $(-4,1)$: $y=-2-1=-3$ → $(-4, -3)$

Step5: Calculate reflected point 3

For $(-3,7)$: $y=-2-7=-9$ → $(-3, -9)$

Answer:

The reflected figure has points: $(-8, -4)$, $(-4, -3)$, $(-3, -9)$ (plot these points and connect them to form the reflected triangle)