Tricia plotted the point (4,2) on a coordinate plane. she then performed a series of transformations on the point so that the point mapped onto its original location of (4,2). sort the transformations below so that (4,2) maps itself by the end of the last transformation. write the correct transformations for each step

options:
translation 2 units to te left and 1 unit down

translation 2 units right and 3 units up

rotation of 180 degrees about the origin

reflection over the y-axis

step 1:

step 2:

step 3:

step 4:

place them in order to obtain (4,2)

1696 hundred thousand

step-by-step explanation:

attachment?

step-by-step explanation:

let's cover over the formula of the vertex:

y = a(x – h)^2 + k

in this formula, (h,k) are the vertex, always remember that the positive or negative value of the vertex is based on the sign it has.

for example, if the vertex is -3,-6 then both the x and y value would have the positive sign attached to it and if it were a positive x and y value, then a negative sign would be attached to it.

with that being said, for our problem the x value is a positive one so we are looking for a number with a negative sign next to it, in this case the first and second choice.

however, for the first answer choice it isn't quite part of the formula so we know that the answer choice correctly displays the x value.

to confirm, we can see if the -1 fits correctly with the second answer choice, and as mentioned above a negative number will have a positive sign attached to it. so, for our problem we can see that -1 has been changed to +1, so we can confirm that the second answer choice is correct.

hence, our final answer is y=(x - 1)^2 + 1