Question 2 • Advanced Algebra: Concepts and Connections
Parabola cap A can be represented using the equation open paren x plus 3 close paren squared is equal to y , while line cap b can be represented using the equation y is equal to m x plus 9 Isabel claims one solution to the system of two equations must always be the vertex of parabola cap A Which best describes the reasonableness of her claim?
Answer
A
Isabel is incorrect because the point of intersection between line cap b and parabola cap A that can be determined is the y -intercept of the equations, not the vertex.
B
Isabel is correct because the y -intercept of line cap b is open paren 9 comma 0 close paren and the value of x when y is equal to 0 in parabola cap A is 9 .
C
Isabel is incorrect because the point of intersection between line cap b and parabola cap A that can be determined is the x -intercept of the equations, not the vertex.
D
Isabel is correct because the y -intercept of line cap b is (0, 9) and the value of y when x is equal to 0 in parabola cap A is 9 .