Quadratic Functions Transformational Form

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Presentation transcript:

Quadratic Functions Transformational Form Standard Form ( sometimes known as the Vertex Form) General Form

Transformational Form Not much info. Will have to use formulae How much information do each of these forms tell us about the resulting parabola? Transformational Form Standard Form General Form a k a a h k h Easy to Graph! Not much info. Will have to use formulae Easy to Graph!

Transformational Form Standard Form 1. Multiply both sides by the vertical stretch factor “a” or “5” 2. Add the vertical translation “2” to both sides.

Express these functions in Standard form

Transformational Form General Form 1. Expand the perfect square binomial on the right. 2. Multiply both sides by the vertical stretch factor “a” or “-2” 3. Add or subtract the vertical translation to both sides.

Change to General Form!

Vertex Form General Form 1. Expand the Binomial 2. Multiply the binomial by “a” 3. Collect the constants.