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1. What is a quadratic function?
a function that can be written in the standard form y = ax2+bx+c where a is not equal to 0, and where the highest power is 2
2. Properties of y = ax2+bx+c
• a > 0 : graph opens up
• a < 0 : graph opens down
• IaI > 1 : graph is narrow
• IaI < 1 : graph is wide
• AOS / X value : x = -b/2a
• Y int : c
• Vertex : find X value and plug into equation
3. How do you form Revenue Questions?
R(X) = (original price - X)(original # ppl +ppl expected to comeX)
4. Standard Form
y = ax2+bx+c
5. Vertex Form
y = a(x - h)2+k
6. Properties of y = a(x-h)2+k
• a : width and direction
• h : horizontal shift
• k : vertical shift
• Vertex : (h,k)
• AOS : x = h
7. Intercept Form
y = a(x - p)(x - q)
8. Properties of y = a(x - p)(x - q)
• X ints : p and q
• AOS / X value : x = p+q / 2
• a : width and direction
• Y int : (a)(p)(q)
• Vertex : find X value and plug into equation
9. Change from intercept to standard form
• Write function
• Multiply using FOIL
• Combine like terms
10. Change from vertex to standard form
• Write function
• Rewrite (x - h)2 --> (x - h)(x - h)
• Multiply using FOIL
• Combine like terms

### Card Set Information

 Author: sherin6 ID: 69012 Filename: Quadratic Functions Updated: 2011-02-26 09:09:00 Tags: Math Folders: Description: Chapter 4 Show Answers:

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