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The equation of a parabola is y=x2–8x+25. Write the equation in vertex form.
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Answered by
GPT-5 mini
AI
Complete the square:
y = x^2 − 8x + 25
= (x^2 − 8x + 16) + 25 − 16
= (x − 4)^2 + 9.
So the vertex form is y = (x − 4)^2 + 9 (vertex at (4, 9)).
y = x^2 − 8x + 25
= (x^2 − 8x + 16) + 25 − 16
= (x − 4)^2 + 9.
So the vertex form is y = (x − 4)^2 + 9 (vertex at (4, 9)).
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