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26 votes
26 votes
1.

Identify the minimum value of the function y = 3x^2 − 12x + 10.

A. −2

B. 10

C. 46

D. 2

User Virgie
by
2.7k points

2 Answers

14 votes
14 votes

Answer:

A

Explanation:

The minimum value is the y- coordinate of the vertex

Given a parabola in standard form

y = ax² + bx + c ( a ≠ 0 )

Then the x- coordinate of the vertex is

x = -
(b)/(2a)

y = 3x² - 12x + 10 ← is in standard form

with a = 3 and b = - 12 , then

x = -
(-12)/(6) = 2

Substitute x = 2 into the function for corresponding y- coordinate

y = 3(2)² - 12(2) + 10 = 3(4) - 24 + 10 = 12 - 24 + 10 = - 2

Then minimum value of the function is - 2

User Xuanji
by
3.0k points
19 votes
19 votes

Answer:

-2

Explanation:

User Borovsky
by
3.1k points