What is the focus of the parabola with equation y = x2?

Question

asked Aug 10, 2020 106k views

1 Answer

Jeremy Warne · Answer 1 · 2020-08-13T22:54:59+0000

Answer:

focus=(0,(1)/(4))

Explanation:

We are given equation of parabola as

y=x^2

we can also write as

y=1(x-0)^2+0

now, we can compare

y=a(x-h)^2+k

and find a , h , and k

a=1

h=0

k=0

now, we can use focus formula

focus=(h,k+(1)/(4a))

now, we can plug values

focus=(0,0+(1)/(4* 1))

focus=(0,(1)/(4))