Answer:
See the attached images
Step-by-step explanation:
We're <em>reflecting</em> this image over the line <em>y</em> = –1, right?
This means we need to copy this image over the line like a mirror does a reflection. It isn't exactly what we got before, though—it's flipped backward, just like text when you look at it in a mirror!
First, look where points <em>E</em> and <em>F</em> are. They're two squares below the line. That means we count two squares <em>up</em> to reach <em>y</em> = –1… then count up another <em>two</em> squares to reflect the points across the line.
Next, look at point <em>G</em>. This is what I personally feel is easier: this point has a <em>y</em>-coordinate of –8. This makes it 7 squares below <em>y</em> = –1. To get its new <em>y</em>-coordinate, we <em>add</em> 7 to –1 to get <em>y</em> = 6.
The <u><em>x</em></u><u>-coordinates</u> of the points don't change here; the line the shape is reflected over is a <em>horizontal line</em>. If the line were <em>vertical</em>, we'd only change the <em>x</em>-coordinates and not the <em>y</em>-coordinates. If the line were a linear function like <em>y</em> = <em>x</em>, we'd reflect our <em><u>x</u></em><u>-coordinates </u><u>and</u><u> </u><em><u>y</u></em><u>-coordinates</u>.
Another way to think of it here: how squares below the line is each point? Then multiply that number by 2 and add it to the initial <em>y</em>-coordinate to find its new position.
Forgive me for the weird dots in the last image. I got frustrated and drew the triangle with my pinky finger because I can't quite draw nor write with a mouse yet!!
Hope this helps you understand! Have a great day!