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Quadratic function in vertex form: y=a(x−p)2+q
- Lesson: 111:39
Quadratic function in vertex form: y=a(x−p)2+q
Besides the general form, the vertex form is also another way to express a quadratic function. In this lesson, we will talk about how to find the x-intercepts, y-intercepts, vertex of quadratic functions in vertex form.
Basic Concepts: Graphing linear functions using table of values, Graphing linear functions using x- and y-intercepts, Graphing linear functions using various forms, Introduction to quadratic functions
Related Concepts: Solving quadratic equations by completing the square, Radian measure and arc length, System of linear-quadratic equations, System of quadratic-quadratic equations
Lessons
- 1.y=2(x−3)2−8 is a quadratic function in vertex form.a)Determine:
• y-intercept
• x-intercepts
• vertex
b)Sketch the graph.
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14.
Quadratic Functions
14.1
Characteristics of quadratic functions
14.2
Transformations of quadratic functions
14.3
Quadratic function in general form: y=ax2+bx+c
14.4
Quadratic function in vertex form: y = a(x−p)2+q
14.5
Completing the square
14.6
Converting from general to vertex form by completing the square
14.7
Shortcut: Vertex formula
14.8
Graphing parabolas for given quadratic functions
14.9
Finding the quadratic functions for given parabolas
14.10
Applications of quadratic functions