SOLUTION: Write the quadratic function in standard form. f(x) = x2 − 2x − 3 i need help putting it in standard form. i found the x intercepts from the graph. i need help find

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons -> SOLUTION: Write the quadratic function in standard form. f(x) = x2 − 2x − 3 i need help putting it in standard form. i found the x intercepts from the graph. i need help find      Log On


   

Question 1084898: Write the quadratic function in standard form.
f(x) = x2 − 2x − 3
i need help putting it in standard form. i found the x intercepts from the graph. i need help finding the y intercept
Answer by josgarithmetic(39613) About Me  (Show Source):
You can put this solution on YOUR website!
highlight_green%28f%28x%29=x%5E2-2x-3%29

y-intercept, x=0.
f%280%29=0%5E2-2%2A0-3
highlight_green%28f%280%29=-3%29


Factorize?
x%5E2-2x-3
%28x%2B1%29%28x-3%29
Roots or zeros of f are -1 and +3.


If complete the square,
x%5E2-2x-3
x%5E2-2x%2B1-1-3
%28x%5E2-2x%2B1%29-4
%28x-1%29%5E2-4
highlight%28f%28x%29=%28x-1%29%5E2-4%29, vertex (1, -4).