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If the equation of a parabola is given by y^2 = 12x, what is the value of 'p'?
If the equation of a parabola is given by y^2 = 12x, what is the value of 'p'?
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If the equation of a parabola is given by y^2 = 12x, what is the value of 'p'?
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In the equation y^2 = 4px, p = 3, hence the value of 'p' is 3.
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Q: If the equation of a parabola is given by y^2 = 12x, what is the value of 'p'?
Solution:
In the equation y^2 = 4px, p = 3, hence the value of 'p' is 3.
Steps: 6
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Step 1: Identify the standard form of a parabola that opens to the right, which is y^2 = 4px.
Step 2: Compare the given equation y^2 = 12x with the standard form y^2 = 4px.
Step 3: Notice that in the standard form, 4p is equal to the coefficient of x in the given equation.
Step 4: In the equation y^2 = 12x, the coefficient of x is 12, so we set 4p = 12.
Step 5: To find p, divide both sides of the equation 4p = 12 by 4.
Step 6: This gives p = 12 / 4, which simplifies to p = 3.
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