Array ( [num_questions] => 4 [good_u_prime] => -7 [good_v_coef] => 4 [good_v_exp] => 4x+4 [a] => -7 [b] => -7 [c] => 4 [good_f_coef] => (-28x-35) [good_f_exp] => 4x+4 [part1] => -7x-7 [exposant] => 4x+4 [defi12] => Array ( [ctx] => Array ( [titre] => Pizza 4 fromages vs Pepperoni 🍕 [ligne1] => Aime la 4 fromages [ligne2] => N’aime pas la 4 fromages [colonne1] => Aime la pepperoni [colonne2] => N’aime pas la pepperoni [enonce1] => aiment la 4 fromages et aiment la pepperoni [enonce2] => aiment la 4 fromages mais n’aiment pas la pepperoni [enonce3] => n’aiment pas la 4 fromages mais aiment la pepperoni [question1] => aime la 4 fromages [question12] => aime la 4 fromages [question1n] => n'aime pas la 4 fromages [question2] => aime la pepperoni [question22] => aime la pepperoni [question2n] => n'aime pas la pepperoni [question4] => aime la 4 fromages [lettre1] => Q [lettre2] => P ) [c11] => 30 [c12] => 17 [c21] => 37 [c22] => 43 [l1] => 47 [l2] => 80 [c1] => 67 [c2] => 60 [total] => 127 [proba_simple] => 0.37 [proba_inter] => 0.24 [proba_cond] => 0.64 [q5_phrase] => qu’une personne aime la 4 fromages, sachant qu’elle aime la pepperoni [proba5] => 0.45 [proba5detail] => 30/67 ) [redirect_after_login] => /defi1erespe64.php [defi] => defi1erespe22 [f] => Array ( [fonctions] => Array ( [0] => Array ( [a] => 0.5 [r1] => -6 [r2] => -2 ) [1] => Array ( [a] => 0.3 [r1] => 3 [r2] => 4 ) [2] => Array ( [a] => 0.5 [r1] => 0 [r2] => -1 ) [3] => Array ( [a] => 0.4 [r1] => 1 [r2] => -4 ) ) [equations] => Array ( [A] => Array ( [tex] => 0,5(x+6)(x+2) [couleur] => #f39c12 ) [B] => Array ( [tex] => 0,3(x-3)(x-4) [couleur] => #e74c3c ) [C] => Array ( [tex] => 0,5(x-0)(x+1) [couleur] => #2ecc71 ) [D] => Array ( [tex] => 0,4(x-1)(x+4) [couleur] => #3498db ) ) [correct] => Array ( [A] => #f39c12 [B] => #e74c3c [C] => #2ecc71 [D] => #3498db ) [couleurs] => Array ( [0] => #f39c12 [1] => #e74c3c [2] => #2ecc71 [3] => #3498db ) ) ) DĂ©fi : Racines et facto graphique – Niveau 1erespe | Muscle tes Maths Muscle Tes Maths

Muscle Tes Maths đŸ’Ș

Paraboles – Forme factorisĂ©e → Courbe



Forme factorisée \( f(x) = a(x-x_1)(x-x_2) \)

Sur le graphique ci-contre, on peut lire que $x_1 = -3$ et que $x_2 = 2$, et en plus que $a$ est positif, car la parabole est tournée vers le haut.
On peut dire que la forme factorisée sera de la forme: \( f(x) = a(x-x_1)(x-x_2) = a(x-(-3))(x-2) = a(x+3)(x-2) \).



Associe chaque forme factorisĂ©e Ă  la courbe de mĂȘme couleur :

\( f(x) = 0,5(x+6)(x+2) \)

\( f(x) = 0,3(x-3)(x-4) \)

\( f(x) = 0,5(x-0)(x+1) \)

\( f(x) = 0,4(x-1)(x+4) \)