Question

find the vertex of the parabola 2x2 + 11x + 5 = 0

Answer 1

convert it to vertex form:-

= 2(x^2 + 5.5 x) + 5

= 2[ (x + 2.75)^2 -7.5625) + 5

= 2(x + 2.75)^2 - 15.125 + 5

= 2(x + 2.75)^2 - 10.125

The vertex is at (-2.75, -10.125) answer