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Verified Answer :

f(-2)=4
f(-1)=5
f(-3)=3
f(6)=6
f(-6)=2

first graph is answer

Answer:

The given function is

  \(f(x)=3\sqrt{x+2}+4\\\\y=3\sqrt{x+2}+4\)

Taking x as an independent variable , and y as a dependent variable we can calculate,few y values for some x values, and then find the required graph.

 1.→For, x=-2

y=3 × 0 +4

y=4

Point=(-2,4)

2.→For, x=7

 \(y=3\times \sqrt{2+7}+4\\\\y=3\times 3+4\\\\y=13\)

Point=(7,13)

→If you will look at Graph A, it passes through (-2,4) as well as (7,13).

Option A----Graph A

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