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: $(-4, 5)$, $(-1, 5)$, $(-2, 4)$

Step2: Reflect formula for $y=-1$

For a point $(x,y)$, reflected point is $(x, -2 - y)$

Step3: Calculate first reflected point

For $(-4,5)$: $x=-4$, $y=-2-5=-7$ → $(-4, -7)$

Step4: Calculate second reflected point

For $(-1,5)$: $x=-1$, $y=-2-5=-7$ → $(-1, -7)$

Step5: Calculate third reflected point

For $(-2,4)$: $x=-2$, $y=-2-4=-6$ → $(-2, -6)$

Answer:

The reflected figure's points are $(-4, -7)$, $(-1, -7)$, and $(-2, -6)$