For the parabola defined by the equation y^2 = 20x, what is the coordinates of t

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Question: For the parabola defined by the equation y^2 = 20x, what is the coordinates of the vertex?

Options:

Correct Answer: (0, 0)

Solution:

The vertex of the parabola y^2 = 4px is at (0, 0).

For the parabola defined by the equation y^2 = 20x, what is the coordinates of the vertex?

For the parabola defined by the equation y^2 = 20x, what is the coordinates of the vertex?

Step 1: Identify the standard form of the parabola equation. The equation y^2 = 4px is the standard form for a parabola that opens to the right.
Step 2: Compare the given equation y^2 = 20x with the standard form y^2 = 4px. Here, 4p = 20.
Step 3: Solve for p by dividing both sides of the equation 4p = 20 by 4. This gives p = 5.
Step 4: The vertex of the parabola in the standard form y^2 = 4px is at the point (0, 0).
Step 5: Therefore, the coordinates of the vertex for the parabola defined by the equation y^2 = 20x are (0, 0).

Parabola Vertex – Understanding the standard form of a parabola and identifying its vertex.
Standard Form of Parabola – Recognizing the equation of a parabola in the form y^2 = 4px and its implications.