A description of the transformation that relates the graph of g(p) to the graph of f(p) is the translation of the graph of f(p) = 15p by 6 units.
The difference between a translation and a dilation is that the scale factor or ratio is required for a dilation and not for a translation.
The total cost function for buying pizzas: f(p) = 15p
The value of a coupon off Jerome's purchase = $6
The final cost of Jerome's purchase: g(p) = 15p - 6
Specifically, it is a vertical shift (or translation) of the graph of f(p) downwards by 6 units. This means that for every value of p, the value of g(p) is 6 less than the corresponding value of f(p). In the context of the problem, this represents Jerome using a coupon to reduce the total cost of the pizzas by $6.
Thus, the function g(p) = 15p−6 is a translation of the function f(p)=15p.
Complete Question:
Jerome is buying pizzas for a party. The total cost of the pizza can be modeled by the function f(p) = 15p. He has a coupon for $6 off his purchase, so the final cost of his purchase can be modeled by g (p) = 15p - 6. Describe the transformation that relates the graph of g (p) to the graph of f(p). The graph of g (p) = 15p - 6 is the (Choose one) {translation} or {dilation} of the graph of f(p) = 15p by (Choose one) 6, 7, 12 units