Y-5=1/16 (x-3) ^2 i dont understand how to solve this

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