If the vertices of triangle qrs have coordinates q(1, −2), r(3, −2), and s(2, −4), which coordinates are the coordinates of the vertices of triangle qꞌrꞌsꞌ when triangle qrs is reflected across the x-axis?
a. qꞌ(−1, −2), rꞌ(−3, −2), sꞌ(−2, −4)
b. qꞌ(1, 2), rꞌ(3, 2), sꞌ(2, 4)
c. qꞌ(2, 1), rꞌ(2, 3), sꞌ(4, 2)
d. qꞌ(2, −4), rꞌ(6, −4), sꞌ(4, −8)

because linear equations are a lot simpler than quadratics equations, and linear equations formula is a lot easier to memorize. that's why i think they're harder.

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