Question

What are the vertex, axis of symmetry, maximum or minimum value, domain, and range of the function `y=-x^2-4x+3`?

Answer 1

x of the vertex and axis of symmetry:

`x = -b/2a = 4/-2 = -2.` y of vertex:

`y = f(-2) = -4 + 8 + 3 = 7`

Since a = -1, the parabola opens downward, there is a max at (-2, 7)

Domain: (-infinity, +infinity)

Range ( -infinity, 7)