Respuesta :

Answer:

  y = (x -3)(x +2)

Step-by-step explanation:

For x-intercept (q, 0), one of the factors of the polynomial is (x -q).

For the given x-intercepts, the factors are ...

  y = (x -3)(x -(-2))

  y = (x -3)(x +2)

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Additional comment

"Opens upward" means the leading coefficient is positive. The product of factors shown above has a positive leading coefficient (1), so does not need any modification.

If the parabola opened downward, we would need to multiply by -1.

If the y-intercept or some other point were specified, then we might need to multiply the equation by some factor other than 1.