9
QuizMultiple Choice

Systems of Inequalities

Question 9 • Precalculus

Given x – 5 < (y – 8)2, which graph represents the inequality?

Question illustration
Answer
A
On a coordinate plane, a parabola opens up. It goes through (0, 20), has a vertex at (8, 5), and goes through (14, 14). Everything outside and below the parabola is shaded.
Option A
B
On a coordinate plane, a parabola opens down. It goes through (0, negative 10), has vertex (3, 5), and goes through (14, negative 4). Everything inside and below the parabola is shaded.
Option B
C
On a coordinate plane, a parabola opens to the right. It goes through (21, 16), has vertex (3, 8) and goes through (22, 0). Everything outside and to the left of the parabola is shaded.
Option C
D
On a coordinate plane, a parabola opens to the left. It goes through (negative 8, 15), has vertex (5, 8), and goes through (negative 10, 0).
Option D
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