Find the vertex of the parabola y=x^2+2cx-5 where c is an unknown constant?

vertex-of-parabola

#1

Find the vertex of the parabola y=x^2+2cx-5 where c is an unknown constant?

Answer:

given a parabola of the form y = ax^2 + bx + c, where a, b and c are constants, the x coordinate of the vertex is given by x = -b/(2a). plug x into the equation for the y coordinate of the vertex.