Sarai has decided to take a risk. She's been saving money and now she's ready to invest in stocks. Most of her stocks give her a great return, but one-Bambi's Beach Bonnets-is a mixed story. The value of her shares in Bambi's Beach Bonnets over timem is modeled by the function v (t) = - 2x 2 + 22x + 280, where v represents the value of her investment and t represents time in weeks. (a) What key feature of the function tells us when her investment was worth the most?

Question

Mathematics

Selena Holmes

3 August, 17:34

Sarai has decided to take a risk. She's been saving money and now she's ready to invest in stocks. Most of her stocks give her a great return, but one-Bambi's Beach Bonnets-is a mixed story. The value of her shares in Bambi's Beach Bonnets over timem is modeled by the function v (t) = - 2x 2 + 22x + 280, where v represents the value of her investment and t represents time in weeks. (a) What key feature of the function tells us when her investment was worth the most?

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Answers (1)

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Elyse Guzman · Answer 1

Answer: vertex of the parabola

Step-by-step explanation:

v (t) = - 2x² + 22x + 280

v = value of her investment

t = time in weeks.

(a) What key feature of the function tells us when her investment was worth the most?

worth the most = highest value, so at the vertex of the parabola.

xvertex = - b/2a

yvertex = - Δ/4a