The vertex of the parabola is at (-1/3, -1/3) and the axis of symmetry is about the y-axis is -1/3
What is the parabola?
It is the locus of a point that moves so that it is always the same distance from a non-movable point and a given line. The non-movable point is called focus and the non-movable line is called the directrix.
The equation of the parabola is given below.
y = 3x² + 2x
The equation can be written as
y = 3(x² + 2x/3)
Add and subtract 1/9, then we have
y = 3(x² + 2x/3 + 1/9)² - 3 (1/9)
y = 3(x + 1/3)² - 1/3
Then the vertex of the parabola is at (-1/3, -1/3) and the axis of symmetry is about y-axis is -1/3
The graph is shown below.
More about the parabola link is given below.
https://brainly.com/question/8495504
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