SOLUTION: 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.

Question 926129: 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 by MathLover1(20850) (Show Source): You can put this solution on YOUR website!
The logarithmic function, , can be shifted units vertically and units horizontally with the equation
.
Vertical shift
If , the graph would be shifted units .
If , the graph would be shifted units .
Horizontal Shift
If , the graph would be shifted units .
If , the graph would be shifted units .
Whenever the minus sign (-) is in front of the function notation, it indicates a reflection across the x-axis. For example, the graph of is a reflection of the graph of across the x-axis.
The graph of 3 -g(x) involves the reflection of the graph of g(x) across the x-axis and the upward shift of the reflected graph 3 units.

you are given:
a logarithmic function with base that has been translated right and up and reflected over the axis

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