The vertex of this parabola is at (2, -4). when the x-value is 3, the yvalue is -1. what is the coefficient of the squared expression in the parabola's equation?

  3

Step-by-step explanation:

Fill in the known values in the vertex form equation and solve for the coefficient.

  y = a(x -h)^2 +k

  -1 = a(3 -2)^2 -4 = a -4 . . . . fill in the values and simplify

  3 = a . . . . . . . . . . . . . . . . . . .add 4

The coefficient of the squared expression is 3.

explanation:

previous steps have made pa≅ pb ≅ st ≅ su. setting the compass width to ab allows you to make tu the same length. then δstu ≅ δpab by the sss congruence postulate, and ∠p ≅ ∠s by the reason cpctc.