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- Radical Expressions and Quadratic Equations
Transformations of quadratic functions
- Lesson: 15:11
- Lesson: 1a5:11
- Lesson: 2a9:47
- Lesson: 2b10:27
Transformations of quadratic functions
Related Concepts: Transformations of functions: Horizontal translations, Transformations of functions: Vertical translations, Reflection across the y-axis: y=f(−x), Reflection across the x-axis: y=−f(x)
Lessons
- 1.Reflection in the x-axis
Reflect a quadratic function in the x-axis:a)Sketch the following functions on the same set of coordinate axes:
y=x2 VS. −y=x2b)Compared to the graph of y=x2, the graph of −y=x2 is a reflection in the _______________ . - 2.Compared y=x2 to basic quadratic function:
i) describe every step of transformations
ii) use transformation concepts to sketch the functiona)y=2(x−3)2−8b)y=−31(x+5)2+4
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14.
Radical Expressions and Quadratic Equations
14.1
Evaluating and simplifying radicals
14.2
Converting radicals to mixed radicals
14.3
Solving quadratic equations by factoring
14.4
Solving quadratic equations by completing the square
14.5
Using quadratic formula to solve quadratic equations
14.6
Transformations of quadratic functions