SOLUTION: write the standard form of the quadratic function vertex(2,3) and point (0,23) please help and thank you:)

Algebra ->  Quadratic Equations and Parabolas -> SOLUTION: write the standard form of the quadratic function vertex(2,3) and point (0,23) please help and thank you:)      Log On


   

Question 666191: write the standard form of the quadratic function
vertex(2,3) and point (0,23)
please help and thank you:)
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!
f%28x%29+=+a%28x+-+h%29%5E2+%2B+k+....vertex form
vertex(2,3) and point (0,23)
f%28x%29+=+a%28x+-+2%29%5E2+%2B+3......expand
f%28x%29+=+a%28x%5E2+-+4x%2B4%29+%2B+3
use point (0,23) to find a
f%28x%29+=+a%28x%5E2+-+4x%2B4%29%2B3+
23-3+=+a%280%5E2+-+4%2A0%2B4%29+
20=+4a
20%2F4=+a
+a=5
plug it in f%28x%29+=+a%28x%5E2+-+4x%2B4%29+%2B+3
f%28x%29+=+5%28x%5E2+-+4x%2B4%29+%2B+3
f%28x%29+=+5x%5E2+-+20x%2B20%2B+3
f%28x%29+=+5x%5E2+-+20x%2B23........the standard form