The axis of symmetry for the graph of the function f(x) = 3x2 + bx + 4 is x = 3/2 , the value of b is -9.
Axis of symmetry is a line that divides an object into two equal halves, thereby creating a mirror-like reflection of either side of the object.
Given
The axis of symmetry for the graph of the function f(x) = 3x2 + bx + 4 is x = 3/2 .
The axis of the symmetry is given by;
[tex]\rm x=\dfrac{-b}{2a}[/tex]
The value of x is 3/2 and a is 3.
Substitute all the values in the formula
[tex]\rm x=\dfrac{-b}{2a}\\\\\dfrac{3}{2}=\dfrac{-b}{2 \times 3}\\\\\dfrac{3}{2}=\dfrac{-b}{6}\\\\ -b = \dfrac{6 \times 3}{2}\\\\ b = \dfrac{=18}{2}\\\\b =-9[/tex]
Hence, the value of b is -9.
To know more about the axis of symmetry click the link given below.
https://brainly.com/question/12896816
