2
QuizMultiple Choice
Conic Inequalities
Question 2 of 3 • Precalculus
Given 7x2 + 3y2 – 42x + 6y – 39 < 0, which graph represents the inequality?
Answer
A
On a coordinate plane, one part of a conic graph goes through (negative 8, 6), has a vertex at (negative 7, 2), and goes through (negative 8, negative 4). The other part goes through (2, 6), has a vertex at (0, 1), and goes through (1, negative 2). Everything outside of the conic graph is shaded.
B
On a coordinate plane, an ellipse has center (3, negative 1) and goes through (3, 5), (6.75, 0), (3, negative 7), and (negative 0.75, 0). Everything inside of the ellipse is shaded.
C
On a coordinate plane, one part of a conic graph goes through (negative 8, 6), has a vertex at (negative 7, 2), and goes through (negative 8, negative 4). The other part goes through (2, 6), has a vertex at (0, 1), and goes through (1, negative 2). Everything inside of the conic graph is shaded.
D
Option