Question

emergency!!

Write the function f(x)=x² – 25x in the form f(x) = a(x - h)? +k. Identify the vertex.

Answer 1

Answer:

See below

Step-by-step explanation:

Complete the square

$f(x)=x^2-25x\\\\f(x)+(\frac{-25}{2})^2=x^2-25x+(\frac{-25}{2})^2\\\\f(x)+156.25=x^2-25x+156.25\\\\f(x)+156.25=(x-12.5)^2\\\\f(x)=(x-12.5)^2-156.25\\\\f(x)=(x-\frac{25}{2})^2-\frac{625}{156}$

Identify vertex

$(h,k)\rightarrow(-\frac{25}{2},-\frac{625}{156})$