Given –9x2 + 4y2 – 18x + 16y – 29 ≤ 0, which graph represents the inequality?
Answer
A
On a coordinate plane, one part of a conic graph goes through (negative 6, 7), has a vertex at (negative 2, 5), and goes through (4, 10). The second part goes through (negative 6, negative 6), has a vertex at (negative 1, negative 1), and goes through (4, negative 6). Everything inside of the conic graph is shaded.
B
On a coordinate plane, one part of a conic graph goes through (negative 5, 4), has a vertex at (negative 1, 1), and goes through (2, 3). The other part goes through (negative 3, negative 6), has a vertex at (negative 1, negative 5), and goes through (4, negative 10). Everything inside of the graph is shaded.
C
On a coordinate plane, one part of a conic graph goes through (negative 5, 4), has a vertex at (negative 1, 1), and goes through (2, 3). The other part goes through (negative 3, negative 6), has a vertex at (negative 1, negative 5), and goes through (4, negative 10). Everything outside of the graph is shaded.
D
On a coordinate plane, one part of a conic graph goes through (negative 6, 7), has a vertex at (negative 2, 5), and goes through (4, 10). The second part goes through (negative 6, negative 6), has a vertex at (negative 1, negative 1), and goes through (4, negative 6). Everything outside of the conic graph is shaded.