Answer:x=2
Explanation:
Use the vertex form, y(x-h)^2+k, to determine the values of a, h, and k.
a=1
h=2
k=3
Since the value of a is positive, the parabola opens up.
Find the vertex (h,k).
(2,3)
Find p, the distance from the vertex to the focus.
Find the distance from the vertex to a focus of the parabola by using the following formula.
1/4a
Substitute the value of a into the formula.
1/4*1
Cancel the common factor of 1.
1/4
Find the focus.
The focus of a parabola can be found by adding p to the y-coordinate k if the parabola opens up or down.
(h,k+p)
Substitute the known values of h, p, and k into the formula and simplify.
(2, 13/4)
Find the axis of symmetry by finding the line that passes through the vertex and the focus.
x=2