Answer: final equation is g(x) = 5√x + 5
The parent function f(x) = √x is the square root function, which has a shape of a "V" upside down.
The first transformation is a vertical stretch by a factor of 5. To apply this transformation, we need to multiply the function by 5.
g(x) = 5√x
The second transformation is a translation 4 units right, which is the same as adding 4 to the x in the function.
g(x) = 5√x + 4
The final transformation is a translation 1 unit up, which is the same as adding 1 to the y in the function.
g(x) = 5√x + 4 + 1
So the final equation is g(x) = 5√x + 5