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

User Jeff Fohl
by
7.5k points

2 Answers

3 votes

Answer:

B (-1/3,2/3)

Step-by-step explanation:

User Nefreo
by
7.9k points
4 votes
we have that
y = 3x²+ 2x + 1

step 1
Group terms that contain the same variable, and move the constant to the opposite side of the equationy -1= (3x²+ 2x)
step 2
Factor the leading coefficient
y -1= 3*(x²+ 2/3x)
step 3Complete 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)²the vertex is the point (-2/6, 2/3)------> (-0.33,0.67)
the answer is
(-0.33,0.67)
User Egyedg
by
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