Question

The graph of which function has an axis of symmetry at x=3?​

Answer 1

Answer:

A graph that has an axis of symmetry at x = 3 would be x^2 -6x + 12

Step-by-step explanation:

In order to find a graph that has an axis of symmetry at 3, use the equation for the axis of symmetry of a quadratic.

x = -b/2a

In this equation, a is the coefficient of x^2 and b is the coefficient of x. So, if we use 3 as x and we choose a random number to be a (1), we can solve for the b.

3 = -b/2(1)

3 = -b/2

6 = -b

b = -6

Now that we have this, we can put those two numbers as coefficients. The constant at the end can be anything.

Answer 2

Answer:

The correct answer is f(x) = x2 – 6x – 1.

Step-by-step explanation:

That would be the last graph option. (Option D.)

Hope this helps! :)