Question

A. 2
B. 1/3
C. 5
D. -3​

Answer 1

Answer: 2

Explanation:

`y=(1)/(3)x^2 +2x+5 \longrightarrow (dy)/(dx)=(2)/(3)x+2`

Setting this equal to 0 yields
`x=-3`.

When
`x=-3`,
`y=2`

Answer 2

• A. 2

Explanation:

Given quadratic equation:

• y = (1/3)x² + 2x + 5

Its leading coefficient is positive, so it has minimum value at vertex.

The x-coordinate of the vertex is:

• x = -b/(2a)

Substitute the coefficients:

• x = - 2/(2*1/3) = - 3

Find the value of y at vertex:

• y = (1/3)(-3)² + 2(- 3) + 5 = 3 - 6 + 5 = 2

The matching answer choice is A.