Question

The roots to a parabola are 2 and -3. What is one
possible equation for this parabola

Answer 1

x^2+x-6

Explanation:

i did a thing

hope this is correct and helps

Answer 2

`y = x^2 + x - 6`

Explanation:

Hello!

We can utilize the factored form of a parabola to find a possible equation.

Factored Form:
`y = a(x - h)(x - k)`

• h and k are roots

Since the roots of the parabola are given, we can plug in the roots for h and k, and plug in 1 for a and multiply to find the equation.

Find the Equation

• 
  `y = a(x - h)(x - k)`
• 
  `y = 1(x - 2)(x +3)`
• 
  `y = 1(x^2 + x - 6)`
• 
  `y = x^2 + x - 6`

One possible equation is
`y = x^2 + x - 6`.