Answer:
Step-by-step explanation:
Add 5 to both sides of the equation.
y=1/16⋅(x−3)2+5
Simplify each term.
y=(x−3)^2/16+5
Use the vertex form, y=a(x−h)2+k, to determine the values of a, h, and k. a=1/16 h =3 k=5
Since the value of a is positive, the parabola opens up.
Opens Up
Find the vertex (h,k).(3,5)
Find p, the distance from the vertex to the focus.
4
Find the focus.
(3,9)
Find the axis of symmetry by finding the line that passes through the vertex and the focus.
x=3