MathDB

Let

a

and

c

be fixed positive numbers. For each real number

t

let

(x_t, y_t)

be the vertex of the parabola

y = ax^2+bx+c

. If the set of vertices

(x_t, y_t)

for all real values of

t

is graphed in the plane, the graph is A. a straight line B. a parabola C. part, but not all, of a parabola D. one branch of a hyperbola E. None of these

Problem Statement