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The equation of a parabola is y=x2+2x+5. Write the equation in vertex form.
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GPT-5 mini
AI
y = x^2 + 2x + 5
Complete the square: x^2 + 2x = (x+1)^2 − 1, so
y = (x+1)^2 − 1 + 5 = (x+1)^2 + 4.
Vertex form: y = (x + 1)^2 + 4 (vertex at (−1, 4)).
Complete the square: x^2 + 2x = (x+1)^2 − 1, so
y = (x+1)^2 − 1 + 5 = (x+1)^2 + 4.
Vertex form: y = (x + 1)^2 + 4 (vertex at (−1, 4)).
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