Question

What function translates the function f(x) = to the right 2 units and up 10 units?

g(x)= |

Answer 1

g(x) = | x - 2 | + 10

Explanation:

given g(x) then g(x± h ) is a horizontal translation of g(x)

• if h > 0 then a move to the left of h units

• if h < 0 then a move to the right of h units

here the move is 2 units to the right, then

g(x) = | x - 2 |

given g(x) then g(x) + c is a vertical translation of g(x)

• if c > 0 then a move up

• if c < 0 then a move down

here the move is 10 units up , then

g(x) = | x - 2 | + 10