To find the axis of symmetry of the given equation:
[tex]Y\: =\: x^2\: +\: 4x\: -\: 5[/tex]
the graph is,
The axis of symmetry goes through the vertex of the graph.
The formula to find the axis of symmerty is
[tex]\begin{gathered} y=ax^2+bx+c\: \: \\ x=\frac{-b}{2a} \end{gathered}[/tex]
thus,
[tex]\begin{gathered} a=1,\: b=4 \\ x=\frac{-4}{2\cdot\:1} \\ x=-2 \end{gathered}[/tex]
Thus the axis of symmetry is x=-2.
