Question

Figure 2.23 show the graph of the polynomial f(x) = ax² + bx + c for which

(a) a < 0, b > 0 and c > 0
(b) a < 0, b < 0 and c > 0
(c) a < 0, b < 0 and c < 0
(d) a > 0, b > 0 and c < 0

Answer 1

Clearly, represent a parabola opening downwards. Therefore,

cuts y-axis at P which lies on. Putting x = 0 in, we get y = c. So the coordinates P are. Clearly, P lies on. Therefore

The vertex of the parabola is in the second quadrant. Therefore,

Therefore and

Hence, the correct choice is