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A. 2
B. 1/3
C. 5
D. -3​

A. 2 B. 1/3 C. 5 D. -3​-example-1

2 Answers

5 votes

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

User Vyachez
by
8.3k points
2 votes

Answer:

  • 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.

User Mark Bridges
by
8.4k points

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