Write a logarithmic equation corresponding to the graph show

Write a logarithmic equation corresponding to the graph shown. Use y = log_4(x) as the parent function. y =

Solution

y = log4(x)

Apply reflection along x axis : y = -log4(x)

Apply reflection along y axis : y = -log4(-x)

Horiaontal shift to left by 1unit: y = -log4(-x+1)

vertical shift6 by 3 unts: y = -log4(-x+1) + 3