Question

Find the equation of the axis of symmetry and the coordinates of vertex of the functions =2x^2+4x-3

Answer 1

Hello,

Find the equation of the axis of symmetry is like find the maximum or minimum point of this function.


`f(x)=2x^2+4x-3\\\\\alpha=-(b)/(2a)=-(4)/(4)=-1\\\\`

The equation of the axis of symmetry is then :
`x=-1`


`\beta=f(\alpha)=2(-1)^2+4(-1)-3=2-4-3=-5`

Coordinates of vertex :
`(\alpha,\beta)=(-1;-5)`