Alerts Wishlist Cart

What is the directrix of the parabola y^2 = 8x?

Practice Questions

Q1
What is the directrix of the parabola y^2 = 8x?
  1. x = -2
  2. x = 2
  3. y = -4
  4. y = 4

Questions & Step-by-Step Solutions

What is the directrix of the parabola y^2 = 8x?
  • Step 1: Identify the equation of the parabola, which is y^2 = 8x.
  • Step 2: Recognize that the standard form of a parabola that opens to the right is y^2 = 4px.
  • Step 3: Compare the given equation y^2 = 8x with the standard form y^2 = 4px to find the value of 4p.
  • Step 4: From the equation y^2 = 8x, we see that 4p = 8.
  • Step 5: Solve for p by dividing both sides of the equation by 4: p = 8 / 4 = 2.
  • Step 6: The directrix of a parabola is given by the formula x = -p.
  • Step 7: Substitute the value of p into the directrix formula: x = -2.
No concepts available.
Biology (School & UG)
Biology (School & UG)
Chemistry (School & UG)
Chemistry (School & UG)
Civil Engineering
Civil Engineering
Commerce & Accountancy
Commerce & Accountancy
Computer Science & IT
Computer Science & IT
Current Affairs & GK
Current Affairs & GK
Data Structures & Algorithms
Data Structures & Algorithms
eBooks
eBooks
Electrical & Electronics Engineering
Electrical & Electronics Engineering
English (School)
English (School)
General Aptitude
General Aptitude
General Knowledge
General Knowledge
General Knowledge & Current Affairs
General Knowledge & Current Affairs
Languages & Literature
Languages & Literature
Law & Legal Studies
Law & Legal Studies
Major Competitive Exams
Major Competitive Exams
Mathematics (School)
Mathematics (School)
Mechanical Engineering
Mechanical Engineering
Medical Science
Medical Science
Physics (School & Undergraduate)
Physics (School & Undergraduate)
Quantitative Aptitude & Reasoning
Quantitative Aptitude & Reasoning
Social Science (School)
Social Science (School)
Technical
Technical
Verbal and Reasoning
Verbal and Reasoning
Vocational & Skill Development
Vocational & Skill Development
Soulshift Feedback ×

On a scale of 0–10, how likely are you to recommend The Soulshift Academy?

Not likely Very likely