Question

How can i find the equation of the axis of symmetry of a quadratic function?

the function is: x^2+4x-5=y
can someone show me step by step how to find the equation for the axis of symmetry?

Answer 1

Hi !

You juste have to find the maximum or minimum wich coordinates are : (α, β)
The equation of the axis of symmetry will be : x = α


`y=x^2+4x-5\\\\\alpha=-(b)/(2a)=-(4)/(2)=-2\\\\`

You axis of symmetry is define by :
`x=-2`