What is the answer for this question?

The correct answer is A.

Step-by-step explanation:

In order to find the correct answer, we simply need to find the values of x where the two graphs are equal to each other. In order to do so, we set the two equations equal to each other and solve for the two x values.

x^2 + 3 = x + 4 -----> Subtract x

x^2 - x + 3 = 4 ------> Subtract 4

x^2 - x - 1 = 0

Now that we have this equal to 0, we can use the quadratic formula to solve. Below is the quadratic equation.

For this, we use the coefficient of x^2 as a, the coefficient of x as b and the constant as c. Below is the work for when we plug into the equation.

 OR

1.6 OR -0.6

These two numbers are the x values for part A, which means it is the proper intersections.

f(x) is going down by 4

step-by-step explanation:

(its either that or its going left by 4)

where is the figure