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

Step-by-step explanation:

we have

we know that

The equation of a vertical parabola into vertex form is equal to

where

(h,k) is the vertex of the parabola

and the axis of symmetry is equal to

In this problem we have the axis of symmetry

so

the x-coordinate of the vertex is equal to  

therefore

For -----> one unit to the right of the vertex

Find the value of

For -----> one unit to the left of the vertex

Find the value of

Remember that

------> the x-coordinates are at the same distance from the axis of symmetry

so

------> solve for b

your answer would be 10x - 1

step-by-step explanation: