3
practice testMultiple Choice

Practice Test

Question 3 • Geometry

Which features describe the graph of the fraction with numerator y squared and denominator 96 squared minus the fraction with numerator x squared and denominator 40 squared is equal to 1 ? Choose two correct answers.

Answer
A
a focus at open paren 104 comma 0 close paren
B
the center at open paren 0 comma 0 close paren
C
a vertex at open paren negative 40 comma 0 close paren
D
a focus at open paren 0 comma negative 96 close paren
E
a vertex at open paren 0 comma 96 close paren

Explanation

The equation is in the form y²/a² − x²/b² = 1, so the hyperbola is centered at (0, 0) and opens up and down. Here a = 96, making the vertices (0, 96) and (0, −96). Therefore, the center at (0, 0) and the vertex at (0, 96) are correct.

AI-written and checked against the verified answer.

Previous
Next