7
QuizMultiple Choice
Modeling with Systems
Question 7 • Algebra 2 MP 2,3,4 CHS
A lighthouse is located at (1, 2) in a coordinate system measured in miles. A sailboat starts at (–7, 8) and sails in a positive x-direction along a path that can be modeled by a quadratic function with a vertex at (2, –6). Which system of equations can be used to determine whether the boat comes within 5 miles of the lighthouse?
Answer
A
StartLayout Enlarged Left-Brace 1st Row (x minus 1) squared + (y minus 2) squared = 5 2nd Row y = StartFraction 14 Over 81 EndFraction (x minus 2) squared minus 6 EndLayout
B
StartLayout Enlarged Left-Brace 1st Row (x minus 1) squared + (y minus 2) squared = 25 2nd Row y = StartFraction 14 Over 81 EndFraction (x minus 2) squared minus 6 EndLayout
C
StartLayout Enlarged Left-Brace 1st Row (x minus 1) squared + (y minus 2) squared = 5 2nd Row y = Negative StartFraction 14 Over 81 EndFraction (x + 7) squared + 8 EndLayout
D
StartLayout Enlarged Left-Brace 1st Row (x minus 1) squared + (y minus 2) squared = 25 2nd Row y = Negative StartFraction 14 Over 81 EndFraction (x + 7) squared + 8 EndLayout