The vertex of the parabola below is at the point (1,3), and the point (2,6) is

on the parabola. What is the equation of the parabola?

O A. y=3(x+ 1)2-3

O B. y=3(x-1)2 + 3

O c. x= 2(y - 3)2 + 1

O D. y=6(x-1)2 + 3

B. y=3(x-1)2 + 3

Step-by-step explanation:

Given that

vertex of the parabola is at the point (1,3)

let's verify, if the option B is the correct equation of the parabola.

comparing to standard equationof parabola (standard quadratic equation), we get

to find the vertex we use formula for x- coordinate as

to find y put x=1 in the Eq1, we get

vertex =(x,y) = (1, 3)

thus vertex of the parabola from the equation y=3(x-1)2 + 3 is (1,3), thus verified

thus, the first answer choice, y = sec x, is the correct one