The axis of symmetry for the graph of the function is f(x) = 1/4 x2 bx 10 is x = 6. what is the value of b?

The value of b is -3.

Step-by-step explanation:

Given : The axis of symmetry for the graph of the function is is x = 6.

To find : What is the value of b?

Solution :

is a vertical parabola.

The axis of symmetry is equal to the x-coordinate of the vertex (h,k)

The equation of the axis of symmetry is x=h

Where, x=6 and the x-coordinate of the vertex is h=6          

Convert the quadratic equation in vertex form ,

Complete the square,

Now, h=6

So,

Therefore, the value of b is -3.

horizontal translation of 2 units in the positive x direction

followed by

vertical translation of 3 units in the positive y direction