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The equation of the directrix of the parabola y^2 = 8x is?
The equation of the directrix of the parabola y^2 = 8x is?
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Practice Questions
1 question
Q1
The equation of the directrix of the parabola y^2 = 8x is?
x = -2
x = 2
y = -4
y = 4
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The directrix of the parabola y^2 = 8x is given by x = -2.
Questions & Step-by-step Solutions
1 item
Q
Q: The equation of the directrix of the parabola y^2 = 8x is?
Solution:
The directrix of the parabola y^2 = 8x is given by x = -2.
Steps: 5
Show Steps
Step 1: Identify the standard form of the parabola. The equation y^2 = 8x is in the form y^2 = 4px.
Step 2: Compare the given equation with the standard form. Here, 4p = 8.
Step 3: Solve for p by dividing both sides by 4. So, p = 8 / 4 = 2.
Step 4: Understand that for a parabola that opens to the right, the directrix is given by the equation x = -p.
Step 5: Substitute the value of p into the directrix equation. So, x = -2.
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