# in group Cost per person Total $  16    20  24  28  32 36  40  44  48  50  52  56  60

# in group Cost per person $ Total $  16  42  (42)(16)= 672  20  40    24  38  28  36  32  34 36  30  44  48  26  50  25  52  56  22  60

Make a graph of your data. Put Total Cost on the y-axis Put # of people on the x-axis Answer the following questions:

50 $1250 $800 It’s free! After 100 people the park pays you to come in! This does not make good sense. It is best to give a discount up to the maximum (optimum value)

Introducing… The Parabola! The graph of a quadratic relation is called a parabola. The parabola has some important features: ________ ___________ _______________ _____ _________________

Introducing… The Parabola! The graph of a quadratic relation is called a parabola. The parabola has some important features: ________ ____ ___vertex_____ _axis of symmetry___ _____ Optimal Value

Introducing… The Parabola! The graph of a quadratic relation is called a parabola. The parabola has some important features: _zero___ __y - intercept__ ___vertex_____ ___zero_ _axis of symmetry___ _____ Optimal Value

Everything you ever wanted to know about parabolas… Parabolas can open up or down The zero of a parabola is where the graph crosses the x – axis “Zeroes” can also be called “x – intercepts” or “roots”   The axis of symmetry divides the parabola into two equal halves The vertex of a parabola is the point where the axis of symmetry and the parabola meet. It is the point where the parabola is at its maximum or minimum value. The optimal value is the value of the y co-ordinate of the vertex The y-intercept of a parabola is where the graph crosses the y – axis