PLEASE HELP 30 POINTS!!
Three functions are given below: f(x), g(x), and h(x). Explain in a brief sentence how to find the vertex for each function and state the vertex. Then explain in a brief sentence how to find the axis of symmetry for each function, and state their axis of symmetry.
f(x) = -4(x+2)^2 + 7
g(x) = 2x^2 + 8x + 15
h(x) is graph attached.

f(x): Vertex: (-2, 7) Symmetry: x = -2

g(x): Vertex: (-2, 7) Symmetry: x = -2

h(x): Vertex: (3, 2) Symmetry: x = 3

Step-by-step explanation:

For the vertex, convert the quadratic into the completed square form:

y = a(x - h)² + k

Where (h,k) is the vertex

Line of symmetry of every quadratic is x = h

It divides the curve into two halves

f(x) = -4(x+2)² + 7

Already completed square form.

Vertex: (-2, 7)

Symmetry: x = -2

g(x) = 2x² + 8x + 15

= 2(x² + 4x) + 15

= 2[(x² + 2(x)(2) + 2²) - 2²] + 15

= 2(x + 2)² - 2(4) + 15

g(x) = 2(x + 2)² + 7

Vertex: (-2, 7)

Symmetry: x = -2

h(x)

Vertex: (3, 2)

Symmetry: x = 3