`y = -x^2 - 4x - 3`

`a < 0` so it is n-shaped.

Max value is when `x=-(-4)/-2=-2`

So the maximum point is `(-2, 1)`

`-x^2 - 4x - 3 = 0` when

`x^2 + 4x + 3 = 0`

`(x + 1)(x + 3) = 0 `

So x-axis intercepts are `x = -1` and `x = -3`.

123-1-2-3-4-5-65-5xy(-2,1)(-3,0)(-1,0)(0,-3)Open image in a new page

`y = -x^2 -4x -3`, showing maximum point and intersections with axes

Please support IntMath!