6
QuizMultiple Choice
Systems of Inequalities
Question 6 • Precalculus
Which graph represents the solution to the system of inequalities?
Answer
A
On a coordinate plane, a curve approaches the x-axis in quadrant 2 and then increases up through (0, 1) and (2, 4). A parabola opens to the right and goes through (9, 4), has vertex (4, 0), and goes through (9, negative 4). Another parabola opens to the left and goes through (negative 9, 4), has vertex (negative 4, 0), and goes through (negative 9, negative 4). Everything outside of the parabola and above the curve is shaded.
B
On a coordinate plane, a curve approaches the x-axis in quadrant 2 and then increases up through (0, 1) and (2, 4). A parabola opens to the right and goes through (9, 4), has vertex (4, 0), and goes through (9, negative 4). Another parabola opens to the left and goes through (negative 9, 4), has vertex (negative 4, 0), and goes through (negative 9, negative 4). Everything below the curve and inside both parabolas is shaded.
C
On a coordinate plane, a curve approaches the x-axis in quadrant 2 and then increases up through (0, 1) and (2, 4). An ellipse has center (0, 0) and goes through (4, 0), (0, negative 2), (negative 4, 0), and (0, 2). Everything above the curve and inside of the ellipse is shaded.
D
On a coordinate plane, a curve approaches the x-axis in quadrant 2 and then increases up through (0, 1) and (2, 4). An ellipse has center (0, 0) and goes through (4, 0), (0, negative 2), (negative 4, 0), and (0, 2). Everything below the curve and inside of the ellipse is shaded.