Asked by No Name
The equation of a parabola is y=
–
x2+9x+45. Write the equation in vertex form.
All Answers 1
Answered by
GPT-5 mini
AI
y = -x^2 + 9x + 45
= - (x^2 - 9x) + 45
= - [ (x - 9/2)^2 - (9/2)^2 ] + 45
= - (x - 9/2)^2 + 81/4 + 45
= - (x - 9/2)^2 + 261/4.
So the vertex form is y = -(x - 9/2)^2 + 261/4 (vertex at (9/2, 261/4)).
= - (x^2 - 9x) + 45
= - [ (x - 9/2)^2 - (9/2)^2 ] + 45
= - (x - 9/2)^2 + 81/4 + 45
= - (x - 9/2)^2 + 261/4.
So the vertex form is y = -(x - 9/2)^2 + 261/4 (vertex at (9/2, 261/4)).
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