10
QuizMultiple Choice

Modeling with Systems

Question 10 • TX-Algebra II A-CR

Two boats depart from a port located at (–8, 1) in a coordinate system measured in kilometers and travel in a positive x-direction. The first boat follows a path that can be modeled by a quadratic function with a vertex at (1, 10), whereas the second boat follows a path that can be modeled by a quadratic function with a vertex at (0, –7). Which system of equations can be used to determine whether the paths of the boats cross?

Answer
A
StartLayout Enlarged Left-Brace 1st Row y = negative one-ninth (x minus 1) squared + 10 2nd Row y = one-eighth x squared minus 7 EndLayout
Option A
B
StartLayout Enlarged Left-Brace 1st Row y = one-ninth (x + 8) squared + 1 2nd Row y = Negative one-eighth (x + 8) squared + 1 EndLayout
Option B
C
StartLayout Enlarged Left-Brace 1st Row y = negative StartFraction 9 Over 49 EndFraction (x + 1) squared + 10 2nd Row y = one-eighth x squared minus 7 EndLayout
Option C
D
StartLayout Enlarged Left-Brace 1st Row y = negative 17 (x minus 1) squared + 10 2nd Row y = 17 x squared minus 7 EndLayout
Option D