Problem
Write each function in vertex form, and identify its vertex.f(x)=x^2–14x+50
Solution
For this case we need to write the expression like this:
f (x) = a(x - h)^2 + k
f(x) = x^2 -14 x +50
We cna complete the square on the following way:
f(x)= x^2 -14x + (14/2)^2 +50 - (14/2)^2
f(x) = x^2 -14x+49 + 50 -49
f(x)= (x-7)^2 +1
Then the final solution would be:
f(x)= (x-7)^2 +1
And the vertex is given by V=(7,1)