The graph of y = 3 x is shifted 4 units to the right. what is the equation of the new graph?
a.) y = 3 (x + 4)
b.) y = 3 (x - 4)
c.) y = 3x + 4

B.)

Step-by-step explanation:

In this case we have the equation:

To move a function 4 units to the right we must perform the following operation:

Then the function remains as:

Therefore the correct option is Option B.

B.)

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step-by-step explanation:

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