SOLUTION: Find an equation of the parabola that has the indicated vertex and whose graph passes through the given point vertex ( 2,-1) point (4 -3)

Algebra ->  Linear-equations -> SOLUTION: Find an equation of the parabola that has the indicated vertex and whose graph passes through the given point vertex ( 2,-1) point (4 -3)      Log On


   

Question 975089: Find an equation of the parabola that has the indicated vertex and whose graph passes through the given point vertex ( 2,-1) point (4 -3)
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!
use the vertex form equation of the parabola:
y=a%28x-h%29%5E2%2Bk where h and k are x and y coordinates of the vertex
so,if vertex ( 2,-1), then h=-2 and k=-1
y=a%28x-2%29%5E2-1

use point (4,+-3), and find a
-3=a%284-2%29%5E2-1
-3%2B1=a%282%29%5E2
-2=4a
-2%2F4=a
a=-%281%2F2%29
your equation is: y=-%281%2F2%29%28x-2%29%5E2-1