Write the quadratic function f(x) = 3x2 - 6x + 9 in vertex form. a) f(x) = 3(x - 3)2 + 9 b) f(x) = 3(x - 1)2 + 6 c) f(x) = 3(x + 3)2 + 6 d) f(x) = 3(x + 1)2 + 9

Option B

Step-by-step explanation:

we have

Group terms that contain the same variable, and move the constant to the opposite side of the equation

Factor the leading coefficient

Complete the square. Remember to balance the equation by adding the same constants to each side

Rewrite as perfect squares

------> equation in vertex form

the vertex is the point

the formula of a slope:

we have the points (-2, 7) and (2, 3). substitute: