Question

The vertex of this parabola is at (2.-3). When the yvalue is -2, the xvalue is 5. What is the coefficient of the squared term in the parabola's equation?

Answer 1

The coefficient of squared term is 1/9

Explanation:

The vertex of parabola is (2.-3)

We know the vertex form of a standard parabola

`y=a(x-h)^2+k,\text{ where (h,k) is vertex}`

Plugging values of h and k, h= 2, k = -3

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

Now, x=5, y=-2

`-2=a(5-2)^2-3`

`-2=9a-3`

`9a=1`

`a=(1)/(9)`

Thus, the coefficient of squared term is 1/9