What is the axis of symmetry?Y = x^2 + 4x - 5

Question

asked Dec 13, 2023 114k views

1 Answer

Mxyk · Answer 1 · 2023-12-19T17:24:57+0000

To find the axis of symmetry of the given equation:

$Y\: =\: x^2\: +\: 4x\: -\: 5$

the graph is,

The axis of symmetry goes through the vertex of the graph.

The formula to find the axis of symmerty is

$\begin{gathered} y=ax^2+bx+c\: \: \\ x=(-b)/(2a) \end{gathered}$

thus,

$\begin{gathered} a=1,\: b=4 \\ x=(-4)/(2\cdot\:1) \\ x=-2 \end{gathered}$

Thus the axis of symmetry is x=-2.