Which description matches the transformations y cos x undergoes to
produce y = -3 cos(x) + 1?

A. Horizontal shift left 3 units, then vertical shift up by 1 unit
B. Reflection across the yaxis, vertical shift up by 1 unit, horizontal
shift right by 3 units
C. Vertical stretch by factor 3, reflection across the x-axis, then a
vertical shift up 1 unit

D. Horizontal compression by factor 3, vertical shift by 1 unit up, then
a reflection across the x-axis

111

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

a is 8.b is 10.c is 10.5. d is -.5

step-by-step explanation:

just minus the smallest number from the biggest.