Respuesta :
Answer:
1 and 1
the next answer is 1
then 2
Step-by-step explanation:
Edg 2020 (Brainliest)
We want to complete the steps to convert the given quadratic equation into vertex form.
Eventually we will get:
y = (x + 1)^2 - 2
Vertex form of a quadratic equation.
For a quadratic equation with the vertex (h, k), the vertex form is:
y = a*(x - h)^2 + k
Here we start with:
y = x^2 + 2x - 1
1) First, we complete the perfect-square trinomial, we need to add and subtract 1 to get that:
y = x^2 + 2x - 1 + 1 - 1
2) Now we rewrite the equation to be able of completing squares:
y = (x^2 + 2x + 1) - 1 - 1
y = (x^2 + 2x + 1) - 2
3) Now we complete squares
y = (x + 1)^2 - 2
And this is the equation in vertex form, where you can see that the vertex is the point (-1, - 2)
If you want to learn more about quadratic equations, you can read:
https://brainly.com/question/17177510