Answer:
[tex]y=\frac{3}{50} (x-3)^{2}+2[/tex]
Step-by-step explanation:
Vertex: (3,2)
Point: (13,8)
The equation form is [tex]y=a(x-h)^2+k[/tex]
h = 3
k = 2
y = 8
x = 13
Plug in the values into the form..
[tex]8=a(13-3)^{2} +2[/tex]
Simplify and solve for a..
[tex]8=a(10)^{2}+2[/tex]
[tex]8=100a+2[/tex]
[tex]100a=8-2[/tex]
[tex]100a=6[/tex]
[tex]a=\frac{6}{100} or \frac{3}{50}[/tex]
Plug a into the equation..
[tex]y=\frac{3}{50} (x-3)^{2}+2[/tex]
Hope this helped you!
