The vertex if the parabola below is at the point (2,4) and the point (3,6) is on the parabola. what is the equations the parabola

 is the equations the parabola

Step-by-step explanation:

The standard equation of parabola is given by:

          ....[1]

where,

a is the non zero real number and

(h, k) is the vertex of the parabola.

As per the statement:

The vertex if the parabola below is at the point (2,4)

⇒

⇒h =2 and k =4

Substitute these in [1] we have;

Since, the point (3,6) is on the parabola

⇒x = 3 and y = 6

then;

Subtract 4 from both sides we have:

2= a

or

a = 2

⇒

Therefore, the equations the parabola is,