Question

If g(x) is a translation of f (x) =x^2 right by 5 units and down 3 units which is g(x) ? Please help me ASAP

Answer 1

C

Explanation:

Given f(x) then f(x + h) represents a horizontal translation of f(x)

• If h > 0 then a shift to the left of h units

• If h < 0 then a shift to the right of h units

Here the shift is 5 units right, thus g(x) = (x - 5)²

Given f(x) then f(x) + c represents a vertical translation of f(x)

• If c > 0 then a shift up of c units

• If c < 0 then a shift down of c units

Here the shift is 3 units down, thus g(x) = f(x) - 3

Hence

g(x) = (x - 5)² - 3 → C