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For the parabola y^2 = 20x, what is the coordinates of the vertex?
For the parabola y^2 = 20x, what is the coordinates of the vertex?
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Practice Questions
1 question
Q1
For the parabola y^2 = 20x, what is the coordinates of the vertex?
(0, 0)
(5, 0)
(0, 5)
(10, 0)
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The vertex of the parabola y^2 = 4px is at (0, 0). Here, p = 5, but the vertex remains at (0, 0).
Questions & Step-by-step Solutions
1 item
Q
Q: For the parabola y^2 = 20x, what is the coordinates of the vertex?
Solution:
The vertex of the parabola y^2 = 4px is at (0, 0). Here, p = 5, but the vertex remains at (0, 0).
Steps: 7
Show Steps
Step 1: Identify the equation of the parabola, which is y^2 = 20x.
Step 2: Recognize that this equation is in the form y^2 = 4px, where p is a constant.
Step 3: Compare the equation y^2 = 20x with y^2 = 4px to find p.
Step 4: From the equation, we see that 4p = 20.
Step 5: Solve for p by dividing both sides by 4: p = 20 / 4 = 5.
Step 6: Understand that the vertex of a parabola in this form is always at the point (0, 0).
Step 7: Conclude that the coordinates of the vertex for the parabola y^2 = 20x are (0, 0).
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