Consider the two hyperbolas: H : and H :

MATHEMATICS · Single correct · AP · AP Precalculus · Functions with Parameters, Vectors, and Matrices · Functions with Parameters, Vectors, and Matrices

Problem

Consider the two hyperbolas: H1_1: x216−y29=1\dfrac{x^{2}}{16}-\dfrac{y^{2}}{9}=1 and H2_2: x216−y225=1\dfrac{x^{2}}{16}-\dfrac{y^{2}}{25}=1. Which statement is correct regarding how widely their branches open? (a) H1_1 and H2_2 open equally widely. (b) Only H1_1 opens more widely. (c) Only H2_2 opens more widely. (d) The information given is insufficient to decide.

Related theory

Browse the problem library