The attachment is the question with the given answer choices, it's just tricky for me..

Accepted Solution

Answer:Step-by-step explanation:Problems like these can be tricky; you're right, but things go better for you if you don't look so hard at all the numbers and get overwhelmed. What you have to do here isn't so bad. Basically, they gave you 3 vertices of a triangle, and then they say, "Okay, now I want this triangle to move." If you imagine a graph of this triangle, and you pick the whole thing up and move it, what you're actually doing is taking the coordinates and shifting them the exact amount the problem tells you. So instead of looking at all three coordinates at the same time, what I'm going to do is take them one by one.First, we have P(5, -1). The problem says to shift the whole triangle, and so every vertex, right 3 units and up 6 units. So what you do here is double check your knowledge of coordinates. The x coordinate moves you left and right. The y coordinate moves you up and down. With that, we know that if we're moving 3 to the right, we need to change the x coordinate. If we're moving 3 to the right, that means we're heading in the positive direction. So you want to make the new x coordinate of P... 5 + 3 = 8.To move 6 up, we want to change the y coordinate. If we're going 6 up, once again, we're heading in the positive direction, so we want to make the new y coordinate -1 + 6 = 5.So in the end, P'(8, 5) is our new P vertex. From this alone, you can already see the answer will be the first one, but just to double check, I'll do the other two as well.Taking our next coordinate, Q(0, 8), we want to shift this one 3 to the right and 6 up as well.0 + 3 = 38 + 6 = 14Q'(3, 14) is our new Q vertex.Now the final coordinate, R(7, 5). This one shifts the same as the previous two.7 + 3 = 105 + 6 = 11And so R'(10, 11) is our new R vertex, and the answer is the first choice like we thought.