Question

Triangle XYZ is shown on the coordinate plane.

If triangle XYZ is translated using the rule (x, y) → (x + 1, y − 4) and then reflected across the y-axis to create triangle X″Y″Z″, what is the location of Z″?

Answer 1

i gotchu gimme one sec

Answer 2

Z' will lie on (-2,-1)

Answer 3

to do this, a translation is basically scooting the shape

Answer 4

so since the rule is (x,y), (x+1, y-4), you have to add 1 to the initial x value, and remove 4 from the y

Answer 5

after doing that, Z lies on (2,-1)

Answer 6

then you have to reflect across the y-axis

Answer 7

when you reflect, you basically fold the shape over the axis. mathematically, if you flip across the y-axis, the x-value is negated, and if you flip across the x-axis, then the y-value is negated

Answer 8

(2,-1) is then flipped, so you have to negate the x-value (which is 2), so then your final prime vertex Z is on the point (-2,-1). i hope this helps, and if you need a more detailed explanation, feel free to ask!!

Answer 9

i think i understand, if you wanna answer 1 more for me i'd appreciate it greatly

Answer 10

thank you so so much

Answer 11

yeah it's those kinds of questions that really irritate me it's so tedious