Manitoba
11. Analyze quadratic functions of the form y = a(x - p)² + q and determine characteristics of the corresponding graph
11.5 Quadratic function in vertex form: y = a(x-p)^2 + q
Chapter 11.5
Quadratic function in vertex form: y = a(x-p)^2 + q
What You'll Learn
Identify the vertex of a quadratic function directly from vertex form y = a(x-p)² + q
Calculate x-intercepts by setting y = 0 and solving using square roots
Find y-intercepts by substituting x = 0 into the vertex form equation
Apply algebraic techniques to isolate variables and solve quadratic equations
Sketch parabolas by plotting vertex, intercepts, and connecting key points
What You'll Practice
1
Finding vertices by making both brackets equal zero
2
Solving for x-intercepts using square root methods with plus-minus signs
3
Calculating y-intercepts by substituting x = 0
4
Graphing parabolas using vertex and intercepts
Why This Matters
Vertex form is one of the most powerful ways to analyze quadratic functions because it reveals the vertex instantly. You'll use this form throughout algebra, precalculus, and calculus to optimize real-world problems like projectile motion, profit maximization, and engineering design.
This Unit Includes
1 Video lesson
Skills
Vertex Form
Quadratic Functions
Parabolas
Intercepts
Square Roots
Graphing
Algebra
MB Curriculum Aligned
