SOLUTION: 2. (A)Write the quadratic function f(x)=x²-6x+14 in the form f(x)=a(x-h)²+k by completing the square and (B)graph the function. Please show all of your work. Submit your gra

Algebra ->  Quadratic Equations and Parabolas -> SOLUTION: 2. (A)Write the quadratic function f(x)=x²-6x+14 in the form f(x)=a(x-h)²+k by completing the square and (B)graph the function. Please show all of your work. Submit your gra      Log On


   



Question 466380: 2.
(A)Write the quadratic function f(x)=x²-6x+14 in the form f(x)=a(x-h)²+k by completing the square and
(B)graph the function.
Please show all of your work. Submit your graph.

Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
(A)Write the quadratic function f(x)=x²-6x+14 in the form f(x)=a(x-h)²+k by completing the square and
(B)graph the function.
...
f(x)=x²-6x+14
completing the square
f(x)=(x^2-6x+9)+14-9
f(x)=(x-3)^2+5
This is a parabola with vertex at at (3,5) and it opens upwards
See graph below as a visual check on answer:
..
+graph%28+300%2C+300%2C+-6%2C+6%2C+-3%2C+10%2C%28x-3%29%5E2%2B5%29+