Question

Write a quadratic function in vertex form whose graph has the vertex ( -5. - 1) and passes through the point (-2.2).

Answer 1

`((1)/(3))(x+5)^2-1`

Explanation:

So first let's write a graph in vertex form with a vertex of (-5, -1)

We get

a(x+5)²-1

We now need to determine a

we know that when x= -2 y=2 which means we have

a(-2+5)²-1=2

Solve for a

a(3)²=3

9a=3

a=3/9

a=1/3

Now that we know what a is equal to we can write our equation

`((1)/(3))(x+5)^2-1`