The graph of f(x) = 0.5x is replaced by the graph of g(x) = 0.5x + k. if g(x) is obtained by shifting f(x) up by 5 units, then what is the value of k?

a. k=-5
b. k=-1/5
c. k=5
d. k=1/5

C.   k = 5.

Step-by-step explanation:

The graph is moved k ( = 5) units upwards.

ion

step-by-step explanation:

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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