Question

Which function results after applying the sequence of transformations to f(x) = x^5? reflect across the line y = x and shift up 2 units

Answer 1

The correct answer is, f(y) = y5 + 2

Answer 2

The given function is : f(x)=
`x^5`

When the function is reflected across the line , y=x the function changes to

x =
`y^5`

Suppose point (a,b) lies on the curve.Then

a =
`b^5`

The curve is shifted 2 units up.

It means , x=a, and y =b+2

gives , b= y-2 and x=a

So, the equation of new curve is :
`x=(y-2)^5`