Step-by-step explanation:

vertex : (-1,-2)

opening of the graph: DOWNWARD

vertex is (-1,-2) point equation of the axis of symmetry : x=-1

Domain: (−∞,∞),{x|x∈R}

range: (−∞,−2),{y|y≤−2}

Vertex (h, k):

h = -b/2a

h = -4/2(2)

h = -1

k = 2(-1)² + 4(-1) - 3

k = 2 - 4 - 3

k = -5

Vertex form:

f(x) = 2(x + 1)² - 5

Answers:

Vertex (h,k) = (-1, --5)

Opening of the graph: Upward (because a=2, where a>0)

Vertex is a minimum point (because the graph opens upward)

Equation th axis of symmetry: -b/2a (h is the axis of symmetry)

Domain: {x / x is an element of Real Numbers}

Range: {y / y ≥ - 5}