Which sequence of transformations will map figure h onto figure h′?

a. rotation of 180° about the origin, translation of (x + 10, y − 2), and reflection across x = −6
b. rotation of 180° about the origin, translation of (x + 10, y − 2), and reflection across y = −6
c. rotation of 180° about the origin, translation of (x − 10, y + 2), and reflection across y = −6
d. rotation of 180° about the origin, translation of (x − 10, y + 2), and reflection across x = −6

your answer would be 10x - 1

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.