Question 10 • Advanced Algebra: Concepts and Connections
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 open paren 4 comma 2 close paren It passes through the point open paren 5 comma 4 close paren A linear road connects points open paren negative 3 comma 7 close paren and open paren 8 comma 2 close paren Which system of equations can be used to determine whether the road intersects the boundary of the tower’s signal?
Answer
A
y minus open paren x minus 4 close paren squared is equal to 2 11 x plus 5 y is equal to 2
B
y minus 2 times open paren x minus 4 close paren squared is equal to 2 5 x plus 11 y is equal to 62
C
y minus 2 times open paren x minus 4 close paren squared is equal to 2 11 x plus 5 y is equal to 2
D
y minus open paren x minus 4 close paren squared is equal to 2 5 x plus 11 y is equal to 62