Question

Emergency!!

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

Answer 1

See below

Explanation:

Complete the square

`f(x)=x^2-25x\\\\f(x)+((-25)/(2))^2=x^2-25x+((-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-(25)/(2))^2-(625)/(156)`

Identify vertex

`(h,k)\rightarrow(-(25)/(2),-(625)/(156))`