Let fx x4 If gx IS the graph of fi shifted right 1 units wr

Let f(x) = x^4 If g(x) IS the graph of f(i) shifted right 1 units, write a formula for g(x)

Solution

f(x) = x⁴

Now the graph of f(x) is shifted one unit to the right

==> g(x) = (x - 1)⁴

It is not x⁴ -1 , because it means graph is shifted one unit downwards

x⁴ touches x axis at x = 0

it is shifted one unit to the right ==> it should touch x - axis at x = 1

==> function is (x - 1)⁴