If f(x) =-x^2+3x+5 and g(x)=x^2+2x, which graph shows the graph of (f+g)(x)?

For this case we have the following functions:

We must find (f + g) (x), by definition we have to:

So:

See attached image

we have the parent function given by,

1. the function is translated 5 units to the left.

so, we get,   becomes

2. the function is translated 5 units to the right.

so, we get,   becomes

3. the function is translated 5 units upwards.

so, we get,   becomes

4. the function is translated 5 units downwards.

so, we get,   becomes

5. the function is reflected across x-axis.

so, we get,   becomes

6. the function is reflected across y-axis.

so, we get,   becomes .

step-by-step explanation:

mark brainliest.