Question

Create a quadratic function in one of the forms and show how to convert it to the other two forms.

Answer 1

Create a quadratic function in one of the forms and show how to convert it to the other two forms.

Explanation:

1) Standard form: y = ax2 + bx + c where the a,b, and c are just numbers.

`y=ax^2+bx+c`

2) Factored form: y = (ax + c)(bx + d) again the a,b,c, and d are just numbers.

`y=(ax+c)(bx+d)`

3) Vertex form: y = a(x + b)2 + c again the a, b, and c are just numbers.

`y=a(x+b)^2+c`

The vertex of the parabola is written as (h, k) where b is the x - coordinate and c - is the y - coordinate