Question:
The axis of a parabola is $x=0$. If the vertex is at a distance 3 from the origin above the x-axis, the vertex of the parabola is at ________.
The axis of a parabola is $x=0$. If the vertex is at a distance 3 from the origin above the x-axis, the vertex of the parabola is at ________.
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Axis of symmetry always contains the vertex.
Updated On: Jun 26, 2026
- $(3, 0)$
- $(-3, 0)$
- $(3, -3)$
- $(3, 3)$
- $(0, 3)$
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The Correct Option is
Solution and Explanation
Step 1: Concept
The axis of the parabola $x=0$ is the y-axis. The vertex must lie on the axis.
Step 2: Meaning
A point on $x=0$ has the form $(0, y)$.
Step 3: Analysis
Distance from origin $(0,0)$ is 3. Since it is “above the x-axis”, the y-coordinate must be positive.
Step 4: Conclusion
The vertex is $(0, 3)$. Final Answer: (E)
The axis of the parabola $x=0$ is the y-axis. The vertex must lie on the axis.
Step 2: Meaning
A point on $x=0$ has the form $(0, y)$.
Step 3: Analysis
Distance from origin $(0,0)$ is 3. Since it is “above the x-axis”, the y-coordinate must be positive.
Step 4: Conclusion
The vertex is $(0, 3)$. Final Answer: (E)
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