Question

Determine the vertex of the function f(x) = 3x2 – 6x + 13.

1. Identify the values of a and b.

a =
and b =

2. Find the x-coordinate of the vertex.

negative StartFraction b Over 2 a EndFraction =

3. Find the y-coordinate by evaluating the function at the x-value found in the previous step.

The vertex is

.

Answer 1

1. Identify the values of a and b.

a =

✔ 3

and b =

✔ –6

2. Find the x-coordinate of the vertex.

negative StartFraction b Over 2 a EndFraction =

✔ 1

3. Find the y-coordinate by evaluating the function at the x-value found in the previous step.

The vertex is

✔ (1, 10)

Answer 2

1.)

A=3

B=-6

2.)

1

3.)

(1,10)