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PolarNik [594]
3 years ago
11

What is the vertex of the graph of y = 3x2 + 2x + 1?

Mathematics
2 answers:
Effectus [21]3 years ago
8 0
We have that
y = 3x²<span>+ 2x + 1

step 1
</span>

Group terms that contain the same variable, and move the constant to the opposite side of the equation

y -1= (3x²+ 2x)

step 2

Factor the leading coefficient

y -1= 3*(x²+ 2/3x)

step 3

Complete the square. Remember to balance the equation by adding the same constants to each side

y -1+(1/3)= 3*(x²+ (2/3)x+(4/36))

y-2/3=3*(x+2/6)²

the vertex is the point (-2/6, 2/3)------> (-0.33,0.67)

the answer is

(-0.33,0.67)

Drupady [299]3 years ago
4 0

Answer:

B (-1/3,2/3)

Step-by-step explanation:

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