Question

Give the equation for a logarithmic function with base 4 that has been translated right 1 and up 5 and reflected over the x axis

Answer 1

logarithmic function with base 4
=> \(y=log_4x\)

right 1
=> \(y=log_4(x-1)\)

up 5
=> \(y=log_4(x-1)+5\)

reflected over the x axis
=> \(y=-(log_4(x-1)+5)\)
=> \(y=-log_4(x-1)-5\)