SOLUTION: 8. Let f(x)=x^2 - 4x + 5. a. Find the equation of the axis of symmetry of the graph of f. b. The function can also be expressed in the form f(x) = (x- h)^2 + k. (i) Write do

Algebra ->  Functions -> SOLUTION: 8. Let f(x)=x^2 - 4x + 5. a. Find the equation of the axis of symmetry of the graph of f. b. The function can also be expressed in the form f(x) = (x- h)^2 + k. (i) Write do      Log On


   

Question 1104342: 8. Let f(x)=x^2 - 4x + 5.
a. Find the equation of the axis of symmetry of the graph of f.
b. The function can also be expressed in the form f(x) = (x- h)^2 + k.
(i) Write down the value of h.
(ii) Find the value of k.
Answer by josgarithmetic(39618) About Me  (Show Source):
You can put this solution on YOUR website!
f%28x%29=x%5E2-4x%2B5

Add and subtract %284%2F2%29%5E2 to the right hand side and put into the form in which you can directly read the vertex AND the symmetry axis.

y=x%5E2-4x%2B4-4%2B5
highlight%28y=%28x-2%29%5E2%2B1%29
Vertex is (2,1) and axis of symmetry is x=2.