For the parabola y^2 = 16x, what is the coordinates of the vertex?

For the parabola y^2 = 16x, what is the coordinates of the vertex?

Step 1: Identify the standard form of the parabola. 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 = 16x with the standard form y^2 = 4px. Here, 4p = 16.
Step 3: Solve for p by dividing both sides of 4p = 16 by 4. This gives p = 4.
Step 4: The vertex of the parabola in the form y^2 = 4px is always at the point (0, 0).
Step 5: Therefore, the coordinates of the vertex for the parabola y^2 = 16x are (0, 0).

Parabola Properties – Understanding the standard form of a parabola and identifying its vertex.
Vertex of a Parabola – Knowing that for the equation y^2 = 4px, the vertex is at the origin (0, 0).