Which of these sequences of transformations would not return a shape to its original position? Translate 3 units up, then 3 units down.
Reflect over line P , then reflect over line P again.
Translate 1 unit to the right, then 4 units to the left, then 3 units to the right.
Rotate 90º counterclockwise around the origin, then rotate 180º counterclockwise around the origin again.

step-by-step explanation:

a.   since the profit made in 2012 is equal to the profit made in 2014, the profit is           symmetric about the line y = 120,000.

step-by-step explanation:

given that megan owns a clothing boutique.

the profits of 2010, 11, are recorded and shown as follows:

years since     2010 0     1     2     3       4       5

profits made in 1000's   39       84     111     120   111     84

we find that profit gradually increases form 2010 to 2013 upto 120,   then starts decreasing.

the profits for 2012 and 2014 are the same while that of 2011 and 2015 are also the same.

this shows that there is symmetry about the line profit = 120000

hence answer is:

a.   since the profit made in 2012 is equal to the profit made in 2014, the profit is           symmetric about the line y = 120,000.

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irrational, cannot