PLEASEEE HELPPP 100 POINTSS (a) Using Geometry Vocabulary, describe a sequence of transformations that maps figure A onto figure B.

(b) Write the Transformation Mapping Rule(s) for the sequence you described in part (a).

steps below

Step-by-step explanation:

A (-2,-2) (-2,5) (-4,5)

B (2,-3) (5,-3) (5,-1)

1. A clockwise rotation 90° -> A'  A'  (x,y) -> (y,-x)

  A' : (2,2) (5,2) (5,4)

2. Vertical translation DOWN 5 units -> B  From A' (x, y-5)

  B : (2,-3) (5,-3) (5,-1)

c. y = 1/4 x + 5

step-by-step explanation:

first, put the equation of the line on the graph into slope-intercept form

(y = mx + b):   y = -4x + 8

second, a perpendicular line has to have "an opposite/reciprocal slope" to the original slope. so, find the "m" value in your original equation (it's -4, right? )

original slope: m = -4   perpendicular slope: change the sign to its opposite and find the reciprocal ("flip" the number)

new slope is now positive (b/c the original slope was negative 4), and it's 1/4 (not the original slope of 4 or 4/1)

a_n = a_1 + (n - 1)d

the first term is 6.

the common difference d = ?

when you find d, replace n with 7 and d with the common difference to find your answer.