Which of the following is the equation of the axis of symmetry of the quadratic equation y = 2x^2 + 24x + 62?

An axis of symmetry is the line a parabola forms from the highest or lowest point. First, take -b/2a in this case, -24/4. That is your axis of symmetry. (X=23 is an example of this)

Weegy: y = 6x^2 -24x + 32
y = 6(x^2 - 4x + 4) + 8
Notice 2 things:
6 is factored out, [ leaving the x^2.
The constant 32 is split up into 6*4 + 8.
The trick is to make the part in parentheses the square of a binomial:
y = 6(x-2)^2 + 8
Now you already know that y=x^2 has a vertex at (0,0)
So the (x-2) means it is shifted 2 units to the right, and the +8 means it is shifted 8 units up.
From there you should know where the vertex is. You also know what the line of symmetry is if you know where the vertex is.
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