Question

Given the function f(x) = √x. If the function is shifted right 2 units, then shifted down 1.5 units and reflected about the x-axis, what is the equation of the new function?

Answer 1

f(x) = -√(x-2) + 1.5.

Explanation:

y = √x

2 units to right:

y = √(x-2)

1.5 down:

y = √(x-2) - 1.5

Reflect about x-axis

y = -(√(x-2) - 1.5)

y = -√(x-2) + 1.5.