Question

What's the equation of the axis of symmetry of g(x)=x^{2}+4 x+3?A) x=0B) x=-2C) x=2D) x=3

Answer 1

Given a quadratic equation of the form:

`f(x)=ax^2+bx+c`

The equation of the axis of symmetry is obtained using the formula:

`x=-(b)/(2a)`

From the given quadratic equation:

`\begin{gathered} g\mleft(x\mright)=x^2+4x+3 \\ a=1 \\ b=4 \end{gathered}`

Therefore, the equation of the axis of symmetry of g(x) is:

`\begin{gathered} x=-(4)/(2*1) \\ x=-2 \end{gathered}`

The correct option is B.