1.
(02.01 MC)
Triangle STU is located at S (2, 1), T (2, 3), and U (0, −1). The triangle is then transformed using the rule (x−4, y+3) to form the image S'T'U'. What are the new coordinates of S', T', and U'? (10 points)

Given that STU is a triangle located at S (2, 1), T (2, 3), and U (0, −1).

The triangle is then transformed using the rule to form the image S'T'U'.

We need to determine new coordinates of S', T', and U'

Coordinates of S':

The coordinates of S' can be determined by substituting the coordinate (2,1) in the transformation rule

Thus, we have;

Substituting the coordinate (2,1), we get;

Therefore, the coordinates of the point S' is (-2,4)

Coordinates of T':

The coordinates of T' can be determined by substituting the coordinate (2,3) in the transformation rule

Thus, we have;

Substituting the coordinate (2,1), we get;

Therefore, the coordinates of the point T' is (-2,6)

Coordinates of U':

The coordinates of U' can be determined by substituting the coordinate (0,-1) in the transformation rule

Thus, we have;

Substituting the coordinate (2,1), we get;

Therefore, the coordinates of the point U' is (-4,2)

Hence, the coordinates of S'T'U' are (-2,4), (-2,6) and (-4,2)

first option

a function is a relation in which an input is paired with exactly one output.

so, let's find the right answer.

in our first option, our inputs are january, february, and march. the outputs are 30, 28, and 25. each input has it's own output. this is correct!

our second option we know is incorrect, because ms. valverade has two outputs, dogs and cats. this is not a function.

our third option is incorrect as well. the yellow square has two ouputs, the square and the triangle.

lastly, in our fourth option, we see the number 7 two times with a different output. therefore, this is not a function.

remember: each input must be paired with only one output!