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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
Don't just watch, practice makes perfect
Quadratic function in vertex form: y=a(x−p)2+q
Don't just watch, practice makes perfect.
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