Two functions are shown in the table below. function: 1 2 3 4 5 6 f(x) = -x^2 + 4x+12 g(x) = -x + 6 complete the table on your own paper, then select the value that is a solution to f(x) = g(x). answers: a) x= 2 b) x=3 c) x=5 d) x=6

To find which x coordinate makes f(x) = g(x) or to find when those lines intersect, we need to set them equal:

Add x-6 to both sides of the equation:

Make positive by multiplying the equation by -1:

Now find the x using quadratic formula:

Plug the values:

Simplify:


Now we need to branch the plus-minus sign:



Because -1 isn't in the choices, 6 is the right answer.

The answer is b: step 2.