(x) = ax 2 + bx + c has a negative leading coefficient and the vertex that has a negative y-coordinate. determine the number of real zeros of the function.

The number of real zeroes are the x intercepts or where the graph touches the x axis

negative leading coeficnet means it opens down
negative y coordinate means that the highest point is below the x axis

since it opens down and it is below the x axis, there is no x intercept or real solution (see attachment)

thereforr there are no real roots, there are zero real roots, nada, zip