Which graph represents the solution set of y = x2 − 4 and x + y + 2 = 0?

the graph is attached below :

Step-by-step explanation:

To make the graph which represent the solution set of the given equations :

First draw the graphs of both the given equations then the the point of intersection of both the graphs is the solution of the given equations.

Now, the given equations are :

y = x² - 4 and x + y + 2 = 0

Now the first equation is quadratic and of the parabola.

And the second equation is of a straight line.

Now. as the first equation is quadratic so the solution set of both the equations will contain two points.

Hence, the equations will have two solutions and the required graph of the solution set is attached below :

see attached

step-by-step explanation:

given the function as;

write the equation replacing f(x) with y

form   and fill a table containing values of y with corresponding values of x

you can take a range for   values of x as -3≤x≤3

solving for x=-3

for x=-2

repeat the same procedure to get the values of y for the remaining ,x=-1 to x=3

plot the values of y against values   of x and obtain the following graph