The function ƒ(x) = 6x is vertically shrunk by a factor of ½ and translated 9 units in the negative y- direction. Select the correct graph of the resulting function.

option C.

Step-by-step explanation:

since the graph y = 6x is shrunk by a factor of ½

it becomes y = 3x

to find one coordinate of this graph we put x = 1 so that we get y = 3

so one point we have is (1, 3).

and the other point is origin

[ for if you keep x = 0 then 3 × 0 = 0 so y comes 0 too.]

now this graph is translated 9 units in the negative y direction

so the point that initially was (0, 0) now becomes (0, -9).

we see that the only graph passing thru (0, -9) is C.

so the answer is option C.

answer: the angel abc is 30°,and the abc is a triangle where the angel bac is 90°

so ac is the half of 24=12ft,and from the pythagorean theorem we find ba

ba=√bc^2-ac^2=√576-144=√432=12√3ft

so bac is 12+12√3=12(1+√3)ft