SOLUTION: The vertex of this parabola is at (-4, -1). When the y-value is 0, the x-value is 2. What is the coefficient of the squared term in the parabola's equation?

Algebra ->  Quadratic-relations-and-conic-sections -> SOLUTION: The vertex of this parabola is at (-4, -1). When the y-value is 0, the x-value is 2. What is the coefficient of the squared term in the parabola's equation?      Log On


   

Question 956072: The vertex of this parabola is at (-4, -1). When the y-value is 0, the x-value is 2. What is the coefficient of the squared term in the parabola's equation?
Answer by josgarithmetic(39618) About Me  (Show Source):
You can put this solution on YOUR website!
Standard Form Equation y=a%28x-%28-4%29%29%5E2%2B%28-1%29

Simplify a bit, y=a%28x%2B4%29%5E2-1

Solve for a and evaluate using the other given point (2,0).

a=%28y%2B1%29%2F%28x%2B4%29%5E2
a=%280%2B1%29%2F%282%2B4%29%5E2
highlight%28a=1%2F36%29