Questions: Quelle est l'équation de la fonction quadratique illustrée par le graphique ci-dessous? Donne ta réponse sous la forme d'un produit de facteurs.

Solution Steps

The graph crosses the x-axis at x = -1 and x = 3. These are the roots of the quadratic equation.

Since the roots are -1 and 3, the factors of the quadratic equation are (x + 1) and (x - 3).

The equation can be written in the form y = a(x + 1)(x - 3). We need to find the value of 'a'. The graph passes through the point (0, 3). Substituting these values into the equation gives 3 = a(0 + 1)(0 - 3), which simplifies to 3 = -3a. Solving for 'a' gives a = -1.

Final Answer