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 squared term is 1/9

Step-by-step 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

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

$-2=9a-3$

$9a=1$

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

Thus, the coefficient of squared term is 1/9