Answer
See graph
Work Step by Step
Factor the equation.
$$y=x^2+7x+6$$
$$y=(x+1)(x+6)$$
$$x=-1,-6$$
These are the zeroes of the equation.
The x-coordinate of the vertex must be in the middle of the zeroes.
$$x=-3.5$$
$$y=(-3.5)^2+7(-3.5)+6$$
$$y=-6.25$$
$$(-3.5,-6.25)$$
Connect these points with a smooth curve.
