Question 9 • Advanced Algebra: Concepts and Connections
Tom determines that the system of equations has two solutions, one of which is located at the vertex of the parabola. Equation 1: open paren x minus 3 close paren squared is equal to y minus 4 Equation 2: y is equal to negative x plus b In order for Tom’s thinking to be correct, which qualifications must be met?
Answer
A
b must equal 7 and a second solution to the system must be located at the point open paren 1 comma 8 close paren .
B
b must equal 1 and a second solution to the system must be located at the point open paren 4 comma 5 close paren .
C
b must equal 1 and a second solution to the system must be located at the point open paren 3 comma 4 close paren .
D
b must equal 7 and a second solution to the system must be located at the point open paren 2 comma 5 close paren .