Question

Which graph represents the solution set of and ?

graph I
graph II

graph III
graph IV

A.
graph I
B.
graph II
C.
graph III
D.
graph IV

Answer 1

`\fbox {C. graph lll}`

Explanation:

The solution of the system of equations can be found at their intersections.

The graph which is correct is graph III as it has the correct representations of the equations and correctly indicates the points of intersection.

Answer 2

GRAPH III

Explanation:

Look at the picture.

We have

y = x² - 4 → move the graph of x² 4 units down (the vertex is (0, -4))

x + y + 2 = 0 subtracy x and 2 from both sides

y = -x - 2 → move the graph of -x 2 units down (the y-intercept os -2)

Only graph III and IV meets these conditions.

The solution is the points of intersection of the graphs.

Therefore your answer is GRAPH III