Parabola A can be represented using the equation (x + 3)2 = y, while line B can be represented using the equation y = mx + 9. Is
abel claims one solution to the system of two equations must always be the vertex of parabola A. Which best describes the reasonableness of her claim?
A: Isabel is correct because the y-intercept of line B is (0, 9) and the value of y when x = 0 in parabola A is 9.
→B: Isabel is correct because the y-intercept of line B is (9, 0) and the value of x when y = 0 in parabola A is 9.
C: Isabel is incorrect because the point of intersection between line B and parabola A that can be determined is the y-intercept of the equations, not the vertex.
D: Isabel is incorrect because the point of intersection between line B and parabola A that can be determined is the x-intercept of the equations, not the vertex.
The correct answer is c, Isabel is incorrect because the point of intersection between line B and parabola A that can be determined is the y-intercept of the equations, not the vertex.
Two triangles are similar if and only if the corresponding sides are in proportion and the corresponding angles are congruent. To show two triangles are similar, it is sufficient to show that two angles of one triangle are congruent (equal) to two angles of the other triangle.
