The given transformations are rigid transformation in which the image
can be located by a formula.
Response:
First reflect across the x-axis then reflect across the y-axis
First, rotate 180° counterclockwise around the origin. Then reflect across the x-axis.
First translate 9 units to the left. Then reflect across the x-axis
<h3>Which method is used to determine the transformation of an image?</h3>
The coordinates of (x, y) following a reflection across the x-axis is (x, -y)
The coordinates following a reflection across the y-axis is (-x, y)
The points of the triangle following the first transformation is therefore;
(4, 4) → (4, -4) → (-4, -4)
(8, 4) → (8, -4) → (-8, -4)
(6, 6) → (6, -6) → (-6, -6)
The image from the first transformation is (-4, -4), (-8, -4), (-6, -6), which
corresponds to the <u>second graph</u>.
The coordinates following a rotation of (x, y) by 180° about the origin is (-x, -y)
A reflection of the point (-x, -y) about the x-axis is (-x, y).
Therefore;
(4, 4) → (-4, -4) → (-4, 4)
(8, 4) → (-8, -4) → (-8, 4)
(6, 6) → (-6, -6) → (-6, 6)
The image from the second transformation is (-4, 4), (-8, 4), (-6, 6), which corresponds to the <u>third graph</u>.
The coordinates following a translation of 9 units to the left is (x - 9, y)
A reflection of the point (x - 9, y) about the x-axis is (x - 9, -y)
Therefore;
(4, 4) → (4 - 9, -4) = (-5, -4)
(8, 4) → (8 - 9, -4) = (-1, -4)
(6, 6) → (6 - 9, -6) → (-3, -6)
The image from the third transformation is (-13, -9), (-1, -4), (-7, -6), which corresponds to the<u> first graph</u>.
Learn more about rigid transformations here:
brainly.com/question/11408409
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