Question

Given a quadratic function, f(x) = ax2 + bx + c has a positive leading coefficient and the vertex that has a positive y-coordinate. Determine the number of real zeros of the function
A. 2 real zeros

B. 1 real zero

C. 1 real zero and 1 imaginary zero

D. 2 imaginary zeros

Answer 1

The correct answer is A. 2 real zeros.

Answer 2

As it has a positive leading coefficient the parabola will open upwards.

Also, as the y coordinate of the vertex is positive then the graph will not intersect the x axis at any point(s) ,  so there  can be no real zeroes.

D is the correct choice