identify the vertex, axis of symmetry, maximum or minimum for each of the following quadratic equations

 see below

Step-by-step explanation:

The vertex form of a quadratic equation is:    y = a(x - h)² + k     where

6) y = 3(x - 1)² + 0

       ↓       ↓      ↓

     a= +   h= 1   k= 0

Vertex: (h, k) = (1, 0)

Axis of Symmetry: x = h  →  x = 1  

Max/Min: "a" is positive → minimum

Domain: x = All Real Numbers

Range:  y ≥ k → y ≥ 0

7) y = -1/2(x + 6)² - 7

          ↓       ↓      ↓

        a= -   h= -6  k= -7

Vertex: (h, k) = (-6, -7)

Axis of Symmetry: x = h  →  x = -6  

Max/Min: "a" is negative → maximum

Domain: x = All Real Numbers

Range:  y ≤ k → y ≤ -7

8) y = -(x - 0)² - 3

       ↓       ↓      ↓

     a= -   h= 0   k= -3

Vertex: (h, k) = (0, -3)

Axis of Symmetry: x = h  →  x = 0  

Max/Min: "a" is negative → maximum

Domain: x = All Real Numbers

Range:  y ≤ k → y ≤ -3