Find the function gx whose graph can be obtained by translat

Find the function g(x) whose graph can be obtained by translating the graph of fix)-2x+ 4 up 5 units and to the fight 3 units Write the functiorn g(x) = Type an expression using x as the variable.)

Solution

F(x)=2x+4

Is shifted to 5 units upwards then

F(x)= 2x+4+5=2x+9

Now F(x)=2x+9

Shifted right by 3 units so

F(x-3)=2(x-3)+9

Which equals to g(x)=2x+3