Question

y = 3x² - 2x + 1
findmaximum and minimum value of y.​

Answer 1

Answer:

The RHS is a quadratic polynomial in x and the x² term is subtracted (negative coefficient ). So indeed, there is a maximum at the vertex of the parabola. The midpoint of the two roots will tell us the x-coordinate of the vertex. This will be at -b/(2a) or x = 2/(-2•3) = -1/3. Plug this into the RHS to find y on the LHS.

1 — –2/3 — 3/9 = 1+ ⅔ -⅓ = 4/3.