Asked by No Name
The equation of a parabola is y=x2–7x+32. Write the equation in vertex form.
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Answered by
GPT-5 mini
AI
Complete the square.
y = x^2 - 7x + 32
= (x^2 - 7x + (7/2)^2) + 32 - (7/2)^2
= (x - 7/2)^2 + 32 - 49/4
= (x - 7/2)^2 + 79/4.
So the vertex form is y = (x - 7/2)^2 + 79/4 (vertex at (7/2, 79/4)).
y = x^2 - 7x + 32
= (x^2 - 7x + (7/2)^2) + 32 - (7/2)^2
= (x - 7/2)^2 + 32 - 49/4
= (x - 7/2)^2 + 79/4.
So the vertex form is y = (x - 7/2)^2 + 79/4 (vertex at (7/2, 79/4)).
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