Misty Charnesky-Week9-DQ2

Misty Charnesky-Week9-DQ2 - + + = ax2 bx c 0 EXAMPLE: Graph...

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Misty Charnesky-Week9-DQ2 DQ2: Describe in your own words how to graph a parabola. How do you know if the parabola opens upward or downward? What is the vertex of a parabola and how do you find it? Demonstrate with an example. What is a mathematical model and give examples when using a quadratic function? Graphing a parabola such as = + + y ax2 bx c 1. Does the parabola open up or down? a. If a>0, it opens upward. b. If a<0, it opens downward 2. How do you determine the vertex? a. The x-coordinate is b2a b. The y-coordinate by substituting the x-coordinate - b2a and substituting it for the x- values in the equation = + + y ax2 bx c 3. The y-intercept can be found by x=0 4. The x-intercept can be found by solving the equation
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Unformatted text preview: + + = ax2 bx c 0 EXAMPLE: Graph =-+ fx x2 6x 5 1. The graph opens up since a>0 2. The vertex is (- ) ( )= = =( ) -+ = -+ =- , 6 2 1 62 3 and f3 3 2 63 5 9 18 5 4 The vertex ( ,- ) is 3 4 3. =-+ = -( , ) f0 02 60 5 5 y intercept is 0 5 4.-+ = x2 6x 5 0 5.-- = x 5x 1 0 6.- = - = x 5 0 or x 1 0 7. = = -, , x 5 or x 1 the x intercepts are 5 0and 1 0 8. I could not figure out how to make a graph to show it visually 9. 10. The quadratic equation is =- + x b b2 4ac2a 11. If we use our above equation; =-+ , = , =- , = fx x2 6x 5 a 1 b 6 c 5 12. =-(- )(- ) -( ) ( ) x 6 6 2 41 5 2 1 13. = x 6 36-202 14. = x 6 162 15. = = x 6 42 3 2 16. = = x 5 or x 1 17....
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This note was uploaded on 09/05/2011 for the course ECON 101 taught by Professor Smith during the Spring '11 term at University of Phoenix.

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Misty Charnesky-Week9-DQ2 - + + = ax2 bx c 0 EXAMPLE: Graph...

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