A parabola is represented as: [tex]\mathbf{y = a(x - h)^2 + k}[/tex]
The equation of the parabola is: [tex]\mathbf{y = (x - 6)^2 + 3}[/tex]
From the question, we understand that:
- The function is translated right by 6 units; this means that h = 6
- The function is translated up by 3 units; this means that k = 3
Substitute 6 for h and 3 for k in [tex]\mathbf{y = a(x - h)^2 + k}[/tex]
[tex]\mathbf{y = a(x - 6)^2 + 3}[/tex]
Assume a = 1
[tex]\mathbf{y = 1(x - 6)^2 + 3}[/tex]
[tex]\mathbf{y = (x - 6)^2 + 3}[/tex]
Hence, the equation of the parabola is: [tex]\mathbf{y = (x - 6)^2 + 3}[/tex]
Read more about parabolas at:
https://brainly.com/question/21685473
