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

Answer:

The coefficient of the squared term in parabola is 1/9

Step-by-step 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

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

$1=a(3)^2$

$1=9a$

$a=\frac{1}{9}$

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