What is the axis of symmetry of y=3x^2+6x+5

The axis of symmetry is the equation x = -1



Explanation:

The equation y = 3x^2+6x+5 is in the form y = ax^2+bx+c

In this case, a = 3, b = 6, c = 5.

We will plug a = 3 and b = 6 into the formula below

x = -b/(2*a)
x = -6/(2*3)
x = -6/6
x = -1

Therefore, the axis of symmetry is x = -1

This is the vertical line that passes through the vertex. We can reflect the parabola over this line to have one half of the curve line up perfectly with the other half of the curve.