A radio tower is located on a coordinate system measured in miles. The range of a signal in a particular direction is modeled by a quadratic function where the boundary of the signal starts at the vertex at (4, 2). It passes through the point (5, 4). A linear road connects points (–3, 7) and (8, 2). Which system of equations can be used to determine whether the road intersects the boundary of the tower’s signal?
Answer
A
StartLayout Enlarged Left-Brace 1st Row y minus 2 (x minus 4) squared = 2 2nd Row 5 x + 11 y = 62 EndLayout
B
StartLayout Enlarged Left-Brace 1st Row y minus (x minus 4) squared = 2 2nd Row 5 x + 11 y = 62 EndLayout
C
StartLayout Enlarged Left-Brace 1st Row y minus (x minus 4) squared = 2 2nd Row 11 x + 5 y = 2 EndLayout
D
StartLayout Enlarged Left-Brace 1st Row y minus 2 (x minus 4) squared = 2 2nd Row 11 x + 5 y = 2 EndLayout