SOLUTION: the vertex of a parabola is at(2,-4). when the x value is 3, the y value is -1. what is the coefficent of the squared expression in the parabolas equation

Algebra ->  Quadratic-relations-and-conic-sections -> SOLUTION: the vertex of a parabola is at(2,-4). when the x value is 3, the y value is -1. what is the coefficent of the squared expression in the parabolas equation      Log On


   

Question 810827: the vertex of a parabola is at(2,-4). when the x value is 3, the y value is -1. what is the coefficent of the squared expression in the parabolas equation
Answer by erica65404(394) About Me  (Show Source):
You can put this solution on YOUR website!
vertex form: y=a%28x-h%29%5E2%2Bk
h is the x value in the vertex and k is the y value in the vertex.
a is the coefficient.
the vertex form is y=a%28x-2%29%5E2-4
you want find a so plug in the x and y value they give you and solve for a.
-1=a%283-2%29%5E2-4
-1=a-4
3=a
The vertex equation of the parabola they give you is
y=3%28x-2%29%5E2-4
The coefficient is 3.