Graph transformations: Vertex Form
Pizza prices
In a newly opened pizza parlor you can order pizzas of any diameter, prepared
by a computerized machine.
Pizzas are priced as follows:
There is a basic price of $3 + 3 cents for every square inch of pizza.
(Toppings are free!)
The following coupons were distributed in the local paper:
5 free square inches on any size pizza!
For example: buy a 25 inch pizza and pay for a 20 inch pizza. |
25% off the diameter on any size pizza!
For example: buy a 20 inch pizza and pay for a 15 inch pizza. |
25% off the price of any size pizza! |
2 dollars off the price of any pizza! |
Construct price functions
Construct a function describing the dependence of
of the price of a pizza on its diameter when no coupon is used.
Let's call this the "price function."
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For each type of coupon, describe the transformations that must be performed
on the price function to obtain new functions that describe
the dependence of the price of a pizza on its diameter when
the coupon is used.
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Compare the different coupons. If you wanted
to order a pizza, which of them would you use? And if you had
already used that coupon, which one would you use next?
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