Question

The vertex of the parabola \( y^2 = 4ax \) is:

• A. (4, 0)
• B. (-4, 0)
• C. (0, 4)
• D. (0, 0)

Hint:

The vertex of a parabola \( y^2 = 4ax \) is at \( (0, 0) \) in the standard form.

Answer 1

The Correct Option is D

Step 1: Understanding the equation of the parabola.
The standard form of a parabola that opens along the x-axis is: \[ y^2 = 4ax \]
Step 2: Vertex of the parabola.
The vertex of the parabola given by \( y^2 = 4ax \) is at the point \( (0, 0) \). This is because, in the standard form of the equation, the vertex is always at the origin for this type of parabola.
Step 3: Conclusion.
Thus, the vertex of the parabola is \( (0, 0) \). Final Answer:} (0, 0).