Answer:
Vertex form of the given function will be f(x) = (x - 8)² - 56
Explanation:
Standard form of the function is given as
f(x) = x² - 16x + 8
Vertex form of the quadratic function is represented by
f(x) = (x - h)² + k
Where (h, k) is the vertex of the parabolic function..
For the function
f(x) = x² + 8 - 16x
= [x² - 2(8x) + 8² - 8²] + 8
= [(x - 8)²- 8²] + 8
= [(x - 8)² - 64 + 8]
= (x - 8)² - 56
Therefore, vertex form of the given function will be f(x) = (x - 8)² - 56