How to determine whether it is upward opening parabola or downward opening by just seeing the quadratic equation or its factors

Determine whether the values given against each of the quadratic equations are the roots of the quadratic equation or not : x^(2)+4x-5=0,x=1,-1

Determine whether the values given against each of the quadratic equations are the roots of the quadratic equation or not : x^(2)+4x-5=0,x=1,-1

A medical practice surveyed a random sample of 80 patients to determine whether their facility should open earlier in the morning or close later in the evening. Of the 80 patients surveyed, 37.5% preferred that the facility open earlier. Based on this information, about how many of the practice's 600 patients would be expected to prefer that the facility open earlier in the morning?

Determine that whether there is any common root exists between the following quadratic equations x^2-8x+15=0x^2-9x+18=0

Determine whether the values given against each of the quadratic equation are the roots of the equation. 2m^(2)-5m=0, m=2, 5/2

Determine whether the given values of x are the roots of given quadratic equation 6x^2-x-2=0,x=-1/2,x=5

An equation of the elliptical part of an optical lens system is (x^(2))/(16)+(y^(2))/(9)=1 . The parabolic part of the system has a focus in common with the right focus of the ellipse. The vertex of the parabola is at the origin and the parabola opens to the right. determine the equation of the parabola

Determine whether the value given against each of the quadratic equation are the roots of the equation. (ii) 2m^2-5m=0, m=2,5/2 .