Question

Choose the graph that shows the correct sum.

Answer 1

The graph that shows the correct sum is:

Graph B

Explanation:

We are given a graph of a function f(x) as a straight line that passes through (0,2) and (2,0).

Hence, the equation of f(x) is:

`y=-x+2`

Also the graph of g(x) is a upward open parabola with vertex at (0,-3)

Hence, the equation of g(x) is:

`y=x^2-3`

Now the sum function i.e. (f+g)(x) is given by:

`(f+g)(x)=f(x)+g(x)`

Hence,

`(f+g)(x)=x^2-x-1`

Hence, the graph that denotes this function is:

Graph B.

Answer 2

The answer I got was b