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Parabola with Vertical Axis
For x^2=4ay, focus=(0,a) and directrix y=-a; signs determine opening.
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Parabola with Vertical Axis
What is it?
For x^2=4ay, focus=(0,a) and directrix y=-a; signs determine opening.
In simple words
- For x^2=4ay, focus=(0,a) and directrix y=-a; signs determine opening.
- Worked pattern: x^2=-12y opens downward with focus (0,-3).
- Final check: domain, sign, notation, units, and reasonableness.
Important terms
Parabola with vertical axis: For x^2=4ay, focus=(0,a) and directrix y=-a; signs determine opening.
What you should learn
- State the rule for parabola with vertical axis.
- Solve a parabola with vertical axis problem step by step.
- Check the result, restrictions, notation, and units.
Recommended for Class 12
Full school-level explanation
For x^2=4ay, focus=(0,a) and directrix y=-a; signs determine opening.
CONCEPT AND RULE
For x^2=4ay, focus=(0,a) and directrix y=-a; signs determine opening.
METHOD
For parabola with vertical axis, identify the given information and required result. Select the matching definition or formula, state its conditions, substitute carefully, simplify one line at a time, and check.
WORKED EXAMPLE
x^2=-12y opens downward with focus (0,-3).
COMMON MISTAKE
Write the governing rule before substitution, keep brackets and signs visible, and check that the answer satisfies all domain or interval conditions.
How to solve parabola with vertical axis
How it works
- Identify the mathematical objects, givens, restrictions, and required result.
- Choose and write the relevant definition, theorem, or formula.
- Substitute with brackets and carry out one justified step per line.
- Simplify, state the final answer clearly, and verify it in the original setting.
Remember
- Parabola with vertical axis
- rule
- worked example
- worked example
How the ideas connect
Worked example: x^2=-12y opens downward with focus (0,-3).
Deeper understanding
Go beyond memorising Parabola with Vertical Axis. Connect the definition to reasons, relationships, exceptions, and exam wording.
How the ideas connect
Worked example: x^2=-12y opens downward with focus (0,-3).
Common mistakes
Exam focus
Core Idea
Rule / Formula
Method
Worked Example
Exam focus
Quick revision
- Parabola with vertical axis
- rule
- worked example
- Parabola with vertical axis: For x^2=4ay, focus=(0,a) and directrix y=-a; signs determine opening.
- CONCEPT AND RULE: For x^2=4ay, focus=(0,a) and directrix y=-a; signs determine opening.
- METHOD: For parabola with vertical axis, identify the given information and required result. Select the matc
Write the governing rule before substitution, keep brackets and signs visible, and check that the answer satisfies all domain or interval conditions.
For long answers on Parabola with Vertical Axis: define clearly → explain the main parts → give one example → state one exam caution.
Exam Focus
Exam Focus
Important points
- Parabola with vertical axis
- rule
- worked example
- Parabola with vertical axis: For x^2=4ay, focus=(0,a) and directrix y=-a; signs determine opening.
Important formulas
- Parabola with vertical axis
- rule
- worked example
Common exam traps
- Write the governing rule before substitution, keep brackets and signs visible, and check that the answer satisfies all domain or interval conditions.
- A matching-looking formula is not valid until its conditions and domain have been checked.
Long question structure
Definition → key parts → example → exam caution
Common Mistakes
Common Mistakes
- Mistake
Write the governing rule before substitution, keep brackets and signs visible, and check that the answer satisfies all domain or interval conditions.
- Mistake
A matching-looking formula is not valid until its conditions and domain have been checked.
- Mistake
Write the governing rule before substitution, keep brackets and signs visible, and check that the answer satisfies all domain or interval conditions.
Revision Zone
60-Second Revision
Quick cues from this topic — use them for last-minute revision.
Parabola with vertical axis
rule
worked example
Parabola with vertical axis: For x^2=4ay, focus=(0,a) and directrix y=-a; signs determine opening.
For x^2=4ay, focus=(0,a) and directrix y=-a; signs determine opening.
- Definition
- For x^2=4ay, focus=(0,a) and directrix y=-a; signs determine opening.
- Critical warning
- Write the governing rule before substitution, keep brackets and signs visible, and check that the answer satisfies all d
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Exam Practice
Define
Q1. Define Parabola with Vertical Axis.
Explain
Q2. Explain: CONCEPT AND RULE.
Example
Q3. Give one clear example of Parabola with Vertical Axis and say why it fits.
Mistake
Q4. State one common mistake students make about Parabola with Vertical Axis.
Exam note
Q5. Write a short exam note on Parabola with Vertical Axis: definition, two points, one example.
Sources & References
School-standard facts for Matric and Intermediate. Original explanations — not copied from textbooks.