PLEASEE HELP the triangle stu is graphed at s(-2, 1) t(-5, 3) u(1,4). triangle stu is reflected over the y-axis to create triangle s't'u' and then translated by the rule (x, y) -> (x+1, y-2) to create s"t"u" write the coordinates for triangle s't'u' and s"t"u". express your answer as an ordered pair.

The given given transformation are applied to the vertex point of each preimage to obtain the coordinates of the image

Reason:

The given vertices of the triangle Δstu are;

s(-2, 1), t(-5, 3), u(1, 4)

The given transformations are;

1) Reflection across the y-axis to create Δs't'u'

2) Translation by the rule (x, y) (x + 1, y - 2), to s''t''u''

Required:

To write the coordinates for triangle s't'u' and s''t''u''

Solution:

The image of the point (x, y) following a ,  is (-x, y)

Therefore, we have;

s(-2, 1) s'(2, 1)

t(-5, 3) t'(5, 3)

u(1, 4) u'(-1, 4)

The transformation (x + 1 , y - 2), gives;

(x + 1 , y - 2) =

Therefore, we have;

s'(2, 1) s''(2 + 1, 1 - 2) = s''(3, -1)

t'(5, 3) t''(5 + 1, 3 - 2) = t''(6, 1)

u'(-1, 4) u''(-1 + 1, 4 - 2) = u''(0, 2)

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step-by-step explanation: