How do you find the axis of symmetry and vertex point of the function: y=4x2+24x+6?

1 Answer
Apr 5, 2018

Axis of symmetry formula

Explanation:

While there are several ways to find the axis of symmetry, the simplest method here is probably to just the formula,

x=b2a

Where we get the b and a values from the general formula,

y=ax2+bx+c

Substituting your formula into the equation, we can see that:
a=4
b=24

So, to determine the axis of symmetry:

x=b2a

x=(24)2(4)

x=3

The axis of symmetry is the x value of the vertex point. Knowing this, we simply substitute x=3 in your equation:

y = 4x2+24x+6

y = 4(3)2+24(3)+6

y = 42

So, the vertex point will be at 3,42.