Question

Please graph in standard form and label all x intercepts

Answer 1

The given equation is:

`y=x^2+5x+6`

To find the x-intercepts, let y = 0

`\begin{gathered} x^2+5x_{}+6=0 \\ x^2+2x+3x+6=0 \\ x(x+2)+3(x+2)=0 \\ (x+2)(x+3)=0 \\ x+2=0 \\ x=-2 \\ x+3=0 \\ x=-3 \end{gathered}`

The x-intercepts are (-3, 0) and (-2, 0)

The graph of the equation is plotted below