My Learning Cart
?
Categories
Account

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

₹0.0
Login to Download
  • 📥 Instant PDF Download
  • ♾ Lifetime Access
  • 🛡 Secure & Original Content

What’s inside this PDF?

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

Options:

  1. x = -2
  2. x = 2
  3. y = -4
  4. y = 4

Correct Answer: x = -2

Solution: 

For the parabola y^2 = 4px, here 4p = 8, so p = 2. The directrix is x = -p = -2.

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.
Soulshift Feedback ×

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

Not likely Very likely
Home Practice Performance eBooks