3. identify the transformation(s) that has taken place in the pictures below. be as specific as possible!

A. Reflection

B. Rotation and Translation

C. Translation

Step-by-step explanation:

We are given the figures transformed to different figures.

According to the options,

A. We see that,

Triangle ABC is reflected about the line y=x to obtain the triangle A'B'C'.

B. In the second figure, we get,

Triangle RST is rotated clock-wise around the point T and then translated 2 units to the right to obtain R'S'T'.

C. We have,

Triangle EFD is translated 3 units downwards followed by translation of 2 units to the right to get E'F'D'.

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