week-03.json
json Container
READ_ONLY_ACCESS[ { "id": "maths1-w03-000", "front": "Vertex $x$-coordinate for $y = ax^2 + bx + c$", "back": "$x = -\\frac{b}{2a}$" }, { "id": "maths1-w03-001", "front": "Discriminant formula for $ax^2 + bx + c = 0$", "back": "$D = b^2 - 4ac$" }, { "id": "maths1-w03-002", "front": "Roots nature when discriminant $D > 0$", "back": "Two distinct real roots" }, { "id": "maths1-w03-003", "front": "Roots nature when discriminant $D = 0$", "back": "One real repeated root (tangent to axis)" }, { "id": "maths1-w03-004", "front": "Roots nature when discriminant $D < 0$", "back": "Two complex conjugate roots (no x-intercepts)" }, { "id": "maths1-w03-005", "front": "Vieta's formula for sum of roots", "back": "$\\alpha + \\beta = -\\frac{b}{a}$" }, { "id": "maths1-w03-006", "front": "Vieta's formula for product of roots", "back": "$\\alpha \\beta = \\frac{c}{a}$" }, { "id": "maths1-w03-007", "front": "Parabola opening direction if $a > 0$", "back": "Upward (has a global minimum at vertex)" }, { "id": "maths1-w03-008", "front": "Parabola opening direction if $a < 0$", "back": "Downward (has a global maximum at vertex)" } ]