SOLUTION: Write the Quadratic Equation in Standard Form Standard Form: f(x)=a(x-h)^2 + k f(x)=-(x^2 +2x -3)

Algebra ->  Quadratic Equations and Parabolas -> SOLUTION: Write the Quadratic Equation in Standard Form Standard Form: f(x)=a(x-h)^2 + k f(x)=-(x^2 +2x -3)      Log On


   

Question 1097067: Write the Quadratic Equation in Standard Form
Standard Form: f(x)=a(x-h)^2 + k
f(x)=-(x^2 +2x -3)
Answer by josgarithmetic(39618) About Me  (Show Source):
You can put this solution on YOUR website!
If you have your function in the form, y=ax^2+bx+c and you want to change the form so that you can read and 'see' the vertex and symmetry axis then you could use Completing The Square.

f%28x%29=-%28x%5E2%2B2x-3%29
term to complete the square will be %282%2F2%29%5E2=1.
-%28x%5E2%2B2x%2B1-1-3%29
-%28x%5E2%2B2x%2B1-4%29
-%28%28x%2B1%29%5E2-4%29
-%28x%2B1%29%5E2%2B4
-
highlight%28f%28x%29=-%28x%2B1%29%5E2%2B4%29

This shows system%28a=-1%2Ch=-1%2Ck=4%29.