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Day 1 ­ Standard form

y = ax2 + bx + c         Standard form of a quadratic




  y ­ intercept (0, c)




                                                        1
Axis of symmetry ­ the imaginary line that cuts a parabola in half




                                                x = ­3

Find the axis of symmetry of y = x2 ­ 2x ­ 1.




                                                                     2
How can I use the axis of symmetry to find the coordinates of the 
vertex of y = x2 ­ 2x ­ 1?  




                                                                     3
Graph y = 2x2 ­ 8x + 5.  Identify the vertex, axis of symmetry, and 
y­intercept.  State whether the vertex is a maximum or a minimum.




                                                                       4
You try:

Graph y = ­2x2 ­12x ­ 7.  Identify the vertex, axis of symmetry, and 
y­intercept.  State whether the vertex is a maximum or a minimum.




                                                                        5
The barber's profit p each week depends on his charge c per 
haircut.  It is modeled by the equation p = ­200c2 + 2400c ­ 4700.  
What price should he charge for the largest profit?




                                                                       6

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