Two Graphs' Intersection
Source:
February 11, 2009
Problem Statement
On the same set of axes are drawn the graph of y\equal{}ax^2\plus{}bx\plus{}c and the graph of the equation obtained by replacing by \minus{}x in the given equation. If and these two graphs intersect:
(A)\ \text{in two points, one on the x\minus{}axis and one on the y\minus{}axis}\\
(B)\ \text{in one point located on neither axis} \\
(C)\ \text{only at the origin} \\
(D)\ \text{in one point on the x\minus{}axis} \\
(E)\ \text{in one point on the y\minus{}axis}