can someone check my answer ? my answer is in bold.

what set of transformations could be applied to rectangle abcd to create a'b'c'd'?

rectangle formed by ordered pairs a at negative 4, 2, b at negative 4, 1, c at negative 1, 1, d at negative 1, 2. second rectangle

select one:
a. reflected over the x-axis and rotated 180°
b. reflected over the y-axis and rotated 180°
c. reflected over the x-axis and rotated 90° counterclockwise
d. reflected over the y-axis and rotated 90° counterclockwise

Answer with explanation:

→→Description of Pre-image:

A Rectangle ABCD in which, coordinates of vertices are A(-4,2),B(-4,1),C(-1,1) and D(-1,2).In Second Quadrant.

→→Description of Image:

A Rectangle A'B'C'D' in which, coordinates of vertices are A(-4,-2),B(-4,-1),C(-1,-1) and D(-1,-2). In third Quadrant.

While we reflect a geometrical shape, the Perpendicular distance between vertices of Preimage  and line of reflection is same as Perpendicular distance between vertices of Image and Line of reflection.

Here, the line of reflection is , X  axis, that is ,line y=0.

Or there is second Possibility also

Rectangle ABCD is first reflected over y axis and then it rotated by 180°, either in Clockwise or Counter clockwise Direction.

→If you rotate a geometrical shape by angle of 180°, and If the coordinate of vertices of Preimage is (x,y) then the coordinates of vertices of Image will be (-x,-y).

Option B:  Reflected over the y-axis and rotated 180°

answer: c

because if you look at the chart you can see a pattern and compare it to the question he simplify out your

but i think the formula is f(x)=6x