Find the focus of x²=4y.

01 / Standard#Your turn

Official paper · jm01-2023 · II.2(a) · PDF 4

Skills and prerequisite lessons

Working and explanation

BUILD THE REASONING

Hint 1

Compare with x²=4py.

Hint 2

The axis is vertical and the parabola opens upward.

Worked solution

F=(0,1).

Checks and common pitfalls: The coefficient 4 is four times the focal distance.

Reasoning checklist · self / teacher assessment

Teaching assessment checklist, independently authored. Use the original paper for official marks.
Identify the focal parameter.
$4p=4\implies p=1$
Place the focus p units above the vertex.
$F=(0,p)=(0,1)$

Think first. Reveal a hint when the class is ready.

2023 JM01