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The general form of the family of curves y^2 = 4ax represents:
The general form of the family of curves y^2 = 4ax represents:
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Q1
The general form of the family of curves y^2 = 4ax represents:
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The equation y^2 = 4ax represents a parabola that opens to the right.
Questions & Step-by-step Solutions
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Q: The general form of the family of curves y^2 = 4ax represents:
Solution:
The equation y^2 = 4ax represents a parabola that opens to the right.
Steps: 5
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Step 1: Identify the equation given, which is y^2 = 4ax.
Step 2: Recognize that this is a standard form of a parabola equation.
Step 3: Understand that in this equation, 'a' is a constant that determines the width and position of the parabola.
Step 4: Note that the 'y^2' term indicates that the parabola opens either to the right or left, depending on the sign of 'a'.
Step 5: Since '4a' is positive when 'a' is positive, the parabola opens to the right.
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