Algebra II please help Failing class.

Question

Find the axis of symmetry of the given function g(x) = 4x² + 24x + 31


1) x = -3

2) x = -5

3) x = 5

4) x = 3

Answer 1

Hi Carrie,

 

I hope you are not failing Algebra 2.

 

Find the axis of symmetry of the given function g(x) = 4x² + 24x + 31
1) x = -3

2) x = -5

3) x = 5

4) x = 3

 

The axis of symmetry for a quadratic equation is a vertical line and uses the x-coordinate of the vertex.

The x-coordinate of the vertex can be found using the formula
x=-b
    ---
    2a

for g(x) = 4x² + 24x + 31

a=4
b=24
c=31

 

x=-24

   -----

     2(4)

 

x=-24

    ----

      8

 

x=-3

 

ANSWER:  Response 1 is correct.  The axis of symmetry is x=-3.

 

Let me know if this helps by leaving a comment.