Please help, i got this wrong so can someone do it correct plz

Step-by-step explanation:

Vertices of the rectangle has been given as A(-2, 1), B(2, 1), C(2, -1) and D(-2, -1).

Coordinates after reflection about y-axis,

Rule for the reflection,

(x, y) → (-x, y)

New points after reflection will be A'(2, 1), B'(-2, 1), C'(-2, -1) and D'(2, -1).

Coordinates after rotation of 180° about the origin,

Rule for the rotation,

(x, y) → (-x, -y)

A'(2, 1) → A"(-2, -1)

B'(-2, 1) → B"(2, -1)

C'(-2, -1) → C"(2, 1)

D'(2, -1) → D"(-2, 1)

Coordinates after translation of 3 units left and 2 units down.

Rule for the translation,

(x, y) → [(x - 3), (y - 2)]

A"(-2, -1) → A"'(-5, -3)

B"(2, -1) → B"'(-1, -3)

C"(2, 1) → C"'(-1, -1)

D"(-2, 1) → D"'(-5, -1)

step-by-step explanation:

107 units

the required function is .

step-by-step explanation:

from the given table it is noticed that the graph passing through (-3,7), (0,4), (3,1) and (8,-4).

it is a linear function because the value of y is decrease by one as the value of x increase by 1.

the slope of the function is

the slope of the function is -1 and the y-intercept is 4.

the slope intercept form is

where, m is slope and b is y-intercept.

therefore the required function is . the graph of this function is shown below.