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 the squared term in parabola is 1/9

Explanation:

We have been given the vertex of the parabola is (2,-3)

The vertex form of a parabola is given by

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

On substituting the values, we get

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

Now, when the y value is -2, the x value is 5. Hence, we have

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

`1=a(3)^2`

`1=9a`

`a=(1)/(9)`

Therefore, the coefficient of the squared term in parabola is 1/9