Consider the function f(x) equals 3x + 1 and the graph of the function g(x) shown below (the pic of the graph attached) the graph g(x) is the graph of f(x) translated _ (5, 2, or 3) units _ (left, right, up, or down), and g(x) = _ ( f(x)-5, f(x-2), f(x+5), f(x) +3, f(x-3), or f(x)+2)

x =-.20752

step-by-step explanation:

4^(x+2)=12

4^(x+2)=12

take the log base 4 on each side

log 4 (4^(x+2) = log 4(12)

we know log b(a^y) = y log b (a)

(x+2) log 4(4) = log 4 (12)

x+2 = log 4 (12)

we know   logb c = loga c/loga b

we want to convert to base 10   so a = 10

by default, we do not write the 10   c = 4   and b = 10

log4 10 = log 12/log 4

log4 10 = log 12/ log 4

x+2 = log 12/ log 4

subtract 2 from each side

x +2 -2 = log 12/ log 4 -2

x = 1.79248125 -2

x =-.20752

step-by-step explanation:

let pq = qr = rs = x, and xz = y and zu = z.

if the horizontal lines are parallel, then corresponding segments are in proportion:

substitute:

therefore 3 = y = z.

xu = y + z → xu = 3 + 3 = 6

the solution, from the graphing of the two lines, is (3,2), i.e., x = 3, y = 2.