SOLUTION: The vertex of this parabola is at (-2, -3). When the x-value is -1, the y-value is -5. What is the coefficient of the squared expression in the parabola's equation?

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: The vertex of this parabola is at (-2, -3). When the x-value is -1, the y-value is -5. What is the coefficient of the squared expression in the parabola's equation?       Log On


   

Question 373696: The vertex of this parabola is at (-2, -3). When the x-value is -1, the
y-value is -5. What is the coefficient of the squared expression in the parabola's equation?

Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!


Hi,

*Note:the vertex form of a parabola, y=a%28x-h%29%5E2+%2Bk where(h,k) is the vertex

The vertex of this parabola is at (-2, -3)

y = a(x+2)^2 - 3

Ordered pair Pt(-1,-5)is on the parabola

-5 = a(-1+2)^2 - 3

solving for a

-2 = a(1)^2

-2 = a, the coefficient of the squared expression

y = -2(x+2)^2 - 3