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.

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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) About Me  (Show Source):
You can put this solution on YOUR website!
The logarithmic function, y+=+log%28b%2Cx%29 , can be shifted k units vertically and h units horizontally with the equation
y+=+log%28b%2C%28x%2Bh%29%29%2Bk .
Vertical shift
If k%3E+0, the graph would be shifted k units up.
If k+%3C+0, the graph would be shifted k units down.
Horizontal Shift
If h+%3E+0, the graph would be shifted h units left.
If h+%3C0, the graph would be shifted h units right.
Whenever the minus sign (-) is in front of the function notation, it indicates a reflection across the x-axis. For example, the graph of %28-f%28x%29%29 is a reflection of the graph of f%28x%29 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 b=4 that has been translated right h=1 and up k=5 and reflected over the x axis
y+=+-log%284%2C%28x%2B1%29%29%2B5