Question

Help please?

Answer 1

the answer D

Explanation:

the answer is equation

`d)g(x)=sqrt(4+x)+6`

when we draw
`y=sqrtx`

graph{sqrtx [-6.81, 25.23, -7.95, 8.07]}

when draw `y=sqrt(4+x)` it will sifted 4 units in the left
`y=sqrt(4+x)`

graph{sqrt(x+4) [-4.874, 7.613, -2.17, 4.074]}

when draw `y=sqrt(4+x)+6` it will sifted 4 units in the left and then the graph shifted 6 units upward

graph{sqrt(4+x)+6 [-5.1, 6.01, 3.88, 9.43]}

Answer 2

`g(x)=sqrt(x+4)+6toD`

Explanation:

`"given "f(x)`

`"then "f(xcolor(red)(+-)a)" represents a "color(blue)"horizontal shift"`

`• " if "a>0" then shift of a units to the left "larr`

`• " if "a<0" then shift of a units to the right "rarr`

`"for " f(x)=sqrtx" then "g(x)=sqrt(x+4)larr`

`"given "f(x)`

`"then "f(x)color(red)(+-)a" represents a "color(blue)"vertical shift"`

`• " if "a>0" then shift of a units up "uarr`

`• " if "a<0" then shift of a units down "darr`

`f(x)=sqrtx`

`rArrg(x)=sqrt(x+4)+6`