Use the graph to answer the question.
Which series of transformations correctly maps parallelogram ABCD to parallelogram A′B′C′D′?

a 90∘ counterclockwise rotation about the origin, followed by a reflection in the y-axis
a 180∘ counterclockwise rotation about the origin, followed by a reflection in the y-axis
a 90∘ counterclockwise rotation about the origin, followed by a reflection in the x- axis
a 180∘ counterclockwise rotation about the origin, followed by a reflection in the x-axis

  y= -3x is the required function.

step-by-step explanation:

we have been given a table:

x             y

0             0

1             -3

3             -9

-2             6

we can see that the values of y is -3 times the value of x

hence, the function would be: y= -3x.

put the values of x will give the same y as in the table that means function is satisfying the given table.

m∠5 + m∠3 = m∠1   is true.

m∠5 + m∠6 = 180 is true

m∠2 +m∠3 = m∠6   is true

m∠2 +m∠3 +m∠5 = 180   is true