4.2 STANDARD FORM OF AQUADRATIC FUNCTIONPart 2:Converting Forms, More Graphing, andInterpreting Quadratics
SUMMARY OF STANDARD FORM   Equation:   Vertex:   Axis of Symmetry:   Maximum/Minimum Value:   Domain:   Range:      ...
CONVERTING STANDARD FORMTO VERTEX FORM1.   Identify a2.   Identify the vertex       Note:3.   Plug the values into the ver...
WRITE EACH FUNCTION IN VERTEX FORM
WRITE EACH FUNCTION IN VERTEX FORM
EXAMPLE   A model for a company’s revenue from selling    paper is                      where p is the price in    dollar...
EXAMPLE   A farmer wants to fence in his farm. His property    has a rectangular shape and he plans to use an    existing...
SKETCH THE PARABOLA USING THE GIVENINFORMATION Vertex: y – intercept: 5
SKETCH THE PARABOLA USING THE GIVENINFORMATION Vertex: Point:
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4.2 standard form of a quadratic function 2

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4.2 standard form of a quadratic function 2

  1. 1. 4.2 STANDARD FORM OF AQUADRATIC FUNCTIONPart 2:Converting Forms, More Graphing, andInterpreting Quadratics
  2. 2. SUMMARY OF STANDARD FORM Equation: Vertex: Axis of Symmetry: Maximum/Minimum Value: Domain: Range: OR y – intercept:
  3. 3. CONVERTING STANDARD FORMTO VERTEX FORM1. Identify a2. Identify the vertex Note:3. Plug the values into the vertex form
  4. 4. WRITE EACH FUNCTION IN VERTEX FORM
  5. 5. WRITE EACH FUNCTION IN VERTEX FORM
  6. 6. EXAMPLE A model for a company’s revenue from selling paper is where p is the price in dollars of the paper. What price will maximize the revenue? Find the maximum revenue.
  7. 7. EXAMPLE A farmer wants to fence in his farm. His property has a rectangular shape and he plans to use an existing wall as one of the sides. What is the greatest area he can fence in using the 200ft of fencing he has purchased?
  8. 8. SKETCH THE PARABOLA USING THE GIVENINFORMATION Vertex: y – intercept: 5
  9. 9. SKETCH THE PARABOLA USING THE GIVENINFORMATION Vertex: Point:

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