The answer would be (x+2) (x+1)
Given:
Vertex ===> (h, k) (2, 4)
The parabola passes through the point: (x, y) ==> (3, 6)
Let's find the equation of a parabola.
To find the equation, use the general equation of a parabola with vertex (h, k):

Where:
(h, k) ==> (2, 4)
(x, y) ==> (3, 6)
Substitute values into the general equation:

Subtract 4 from both sides:

Substitute 2 for a, and input the values of the vertex (h, k) in the general vertex equation:

Therefore, the equation of the parabola is:

ANSWER:
The next number is 14 I believe
An exponential graph because it has an exponent in it (x^2
After solving the equation (work shown in image) your answer would be x > -2. I drew an image of how the number line should look at least similar to, using the solution.
*whenever you divide or multiply with a negative number reverse/flip the sign
< or > signs will always have an open circle
≥ or ≤ signs will have a closed/filled in circle
TIP: To know which way the arrow should point, look at the sign and think of it as an arrow.
< would have the arrow on the number point
this way: <-
or > which would have the arrow on the number line point this way: ->