Question

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Answer 1

The sequence of transformation is a reflection across the x-axis, followed by horizontal shift to the right by 2 units, and vertical shift up by 6 units

The vertices of triangle ABC are given as:

$A = (1,9)$

$B = (3,12)$

$C =(4,4)$

The vertices of triangle A"B"C" are given as:

$A" = (3,-3)$

$B" = (5,-6)$

$C" =(6,2)$

Start by reflecting the coordinates of triangle ABC across the x-axis.

The rule of this transformation is:

$(x,y) \to (x,-y)$

So, we have:

$A' =(1,-9)$

$B' =(3,-12)$

$C' =(4,-4)$

Next, shift triangle A'B'C' 2 units right and 6 units up

The rule of this transformation is:

$(x,y) \to (x+2,y+6)$

So, we have:

$A" = (3,-3)$

$B" = (5,-6)$

$C" =(6,2)$

Hence, the sequence of transformation is a reflection across the x-axis, followed by horizontal shift to the right by 2 units, and vertical shift up by 6 units

Read more about transformation at:

brainly.com/question/1448141