The equation of the square root function is g(x) = √(x - 1) + 3
How to determine the equation of the square root function?
A square root function is represented as
f(x) = √x
The transformation rule is given as
Shifted up 3 units and right 1 unit
This can be represented as
(x - 1, y + 3)
So, we have
g(x) = f(x - 1) + 3
This gives
g(x) = √(x - 1) + 3
From the question, we have
It contains the point (5,7).
This means that
g(5) = 7
So, we have
g(5) = √(5 - 1) + 3
Evaluate
g(5) = 7
Hence, the equation of the square root function is g(x) = √(x - 1) + 3
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