Parabolas are used to represent quadratic equations
The equation of the parabola is: [tex]y = 3(x - 1)^2 +4[/tex]
How to determine the equation
The equation of a parabola is:
[tex]y = a(x - h)^2 + k[/tex]
Where (h,k) represents the vertex.
The vertex is given as:
(h,k) = (1,4)
So, we have:
[tex]y = a(x - 1)^2 +4[/tex]
The parabola opens up.
So, the value of a is positive (say a = 3)
So, we have:
[tex]y = 3(x - 1)^2 +4[/tex]
Hence, the equation of the parabola is: [tex]y = 3(x - 1)^2 +4[/tex]
Read more about parabolas at:
https://brainly.com/question/4061870
