Previous Lesson

Determining Quadratic Equations

Algebra and Graphs Determining Quadratic Equations

🎬 Video Tutorial

(0:01) Forming Quadratic Equations Using Vertex Form: When the vertex $(h, k)$ is known, substitute directly into the vertex form, $y = a(x – h)^2 + k$, and use an additional point to solve for $a$.
(1:08) Forming Quadratic Equations Using General Form: For cases without a known vertex, use the general form $y = ax^2 + bx + c$ by plugging in three points to form three equations, then solve for $a$, $b$, and $c$.
(2:04) Applying Quadratic Equations to Real-Life Scenarios: Use quadratic equations to represent a tunnel’s height, and assess if a lorry can pass.

Membership Required

You must be a member of Math Angel Plus or Math Angel Unlimited to view this content.

Already a member? Log in here

📂 Revision Cards

Quadratic equations with vertex form y = a(x - h)² + k and general form y = ax² + bx + c, labelled as methods for forming quadratic equations.

Forming a quadratic equation using vertex form with equation y = -2(x - 2)² + 3, where the vertex is (2,3) and the curve passes through (3,1).

Forming quadratic equations using the general form y = 2x² - x + 3, solving coefficients with three given points: (0,3), (1,4), and (2,9).

Solving the classic tunnel problem. The parabola equation is y = -5/9 · x² + 5 and the vertex is at (0,5). When x = 1, the truck can pass through.

ChatCat (AI Math Tutor)

Previous Lesson

Related