Respuesta :

Answer:

f(x) = (x - 4)² - 5 is the vertex form

Step-by-step explanation:

Given function is [tex]f(x)=x^{2} -8x+11[/tex]

we have to write this function in the vertex form

Vertex form of a parabola is written in the form of f(x) = a(x - h)²+ k

Now we can convert the original function in the vertex form

f(x) = x²- 8x + 11

f(x) = (x²- 8x + 16) - 5

f(x) = (x - 4)² - 5 [(a - b)² = a² + b²- 2ab]

f(x) = (x -4)² - 5 is the answer.

Answer:

A.  

f(x) = (x - 4)² - 5 is the vertex form

Step-by-step explanation: