SOLUTION: If the parabola y - 2 = a(x-3)^2 goes through the point (2,0), what is the value of a? please HELP!!

Algebra ->  Quadratic Equations and Parabolas -> SOLUTION: If the parabola y - 2 = a(x-3)^2 goes through the point (2,0), what is the value of a? please HELP!!      Log On


   

Question 92189This question is from textbook
: If the parabola y - 2 = a(x-3)^2 goes through the point (2,0), what is the
value of a? please HELP!! This question is from textbook

Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
Since you have the equation:
y-2+=+a%28x-3%29%5E2 and a point (2, 0) through which the graph passes, then the given point (2, 0) is said to satisfy the equation y-2+=+a%28x-3%29%5E2.
So you just substitute the x- and y-coordinates of the given point into the equation and solve for a. Substitute x = 2 and y = 0
0-2+=+a%282-3%29%5E2
-2+=+a%28-1%29%5E2
-2+=+a%281%29 So...
a+=+-2 Done!