8
QuizMultiple Choice
Applications of Conics
Question 8 • *25-26 KCS21 Precalculus IC
The difference of the squares of two numbers is equal to 9. Let x represent the larger number and y represent the smaller number. Which graph shows all possible values of x and y?
Answer
A
On a coordinate plane, one part of a conic graph goes through (negative 6, 5), has a vertex at (negative 3, 0), and goes through (negative 6, negative 5). The second part goes through (6, 5), has a vertex at (3, 0), and goes through (6, negative 5).
B
On a coordinate plane, the first part of a conic graph goes through (negative 5, 6), has a vertex at (0, 3), and goes through (5, 6). The second part goes through (5, negative 6), has a vertex at (0, negative 3), and goes through (5, negative 6).
C
On a coordinate plane, a circle has center (0, 0) and radius 3.
D
On a coordinate plane, a circle has center (0, 0) and radius 9.