Answer:
[tex]focus=(0,\frac{1}{4})[/tex]
Step-by-step explanation:
We are given equation of parabola as
[tex]y=x^2[/tex]
we can also write as
[tex]y=1(x-0)^2+0[/tex]
now, we can compare
[tex]y=a(x-h)^2+k[/tex]
and find a , h , and k
a=1
h=0
k=0
now, we can use focus formula
[tex]focus=(h,k+\frac{1}{4a})[/tex]
now, we can plug values
[tex]focus=(0,0+\frac{1}{4\times 1})[/tex]
[tex]focus=(0,\frac{1}{4})[/tex]
