Triangle abc has vertices at a(−3, 4), b(4, −2), c(8, 3). the triangle translates 4 units right and 3 units down. which rule represents the translation? after the translation, what are the coordinates of vertex a? a) (x, y) → ( x + 4, y + 3); (1, 7) b) (x, y) → (x + 4, y − 3); a(1, 1) c) (x, y) → (x − 4, y + 3); (−7, 1) d) (x, y) → (x − 4, y − 3); a(1, −1)

B

Step-by-step explanation:

A translation of 4 units to the right, means add 4 to the original x- coordinate.

A translation of 3 units down, means subtract 3 from the original y- coordinate

Thus the rule is

(x, y ) → (x + 4, y - 3 ), hence

A(- 3, 4 ) → A'(- 3 + 4, 4 - 3 ) → A'(1, 1 )

idk i would have to be there to under stand it

step-by-step explanation:

idk i would have to be there to under stand it

the answer would be d.

step-by-step explanation:

move all variables to the left side and all constants to the right side

(x−3)^2+(y−1)^2=16

this is the form of a circle. use this form to determine the center and radius of the circle.

( x − h ) 2 + ( y − k ) 2 = r 2

match the values in this circle to those of the standard form. the variable   r   represents the radius of the circle,   h   represents the x-offset from the origin, and   k   represents the y-offset from origin.

r = 4

h = 3

k = 1

the center of the circle is found at   ( h , k ) .

center:   ( 3 , 1 )

these values represent the important values for graphing and analyzing a circle.

center:   ( 3 , 1 ).

radius:   4