Question

The axis of symmetry for the graph of the function f start bracket x end bracket equals one-quarter x square plus b x plus 10 is x=6. What is the value of b?
−12
−3

3

Answer 1

The value of b is -3.

What is axis of symmetry?

Axis of symmetry is a line that divides an object into two halves,thereby creation a mirror like reflection of either side of the object.

Now the given function is,

f(x) = 1/4 x^2 bx + 10

and axis of symmetry is at x = 6

Now the quadratic function in standard form is given as,

f(x) = a x^2 bx + c

By comprison we get,

a = 1/4

c = 10

Since axis of symmetry is a vertical line

x = -b/2a

Therefore,

6 = -b/2*(1/4)

-b = 6*2*(1/4)

or, b = -12/4

or, b = -3

Hence,The value of b is -3.

More about axis of symmetry :

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