Question:
The equation \( y^2 + 3 = 2(2x + y) \) represents a parabola with the vertex at:
The equation \( y^2 + 3 = 2(2x + y) \) represents a parabola with the vertex at:
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To identify the vertex and axis of a parabola, rewrite its equation in standard form.
Updated On: Jan 12, 2026
- \( \left( \frac{1}{2}, 1 \right) \) and axis parallel to the y-axis
- \( \left( \frac{1}{2}, 1 \right) \) and axis parallel to the x-axis
- \( \left( \frac{1}{2}, 1 \right) \) and focus at \( \left( \frac{3}{2}, 1 \right) \)
- \( \left( \frac{1}{2}, 1 \right) \) and focus at \( \left( \frac{3}{2}, 1 \right) \)
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The Correct Option is A
Solution and Explanation
Rearrange the equation to the standard form of a parabola and find the vertex and axis of symmetry.
Final Answer: \[ \boxed{\left( \frac{1}{2}, 1 \right) \text{ and axis parallel to the y-axis}} \]
Final Answer: \[ \boxed{\left( \frac{1}{2}, 1 \right) \text{ and axis parallel to the y-axis}} \]
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