Unit 5, Lesson 7

Expressing Transformations of Functions Algebraically

Integrated Math 3

Practice

1. Problem 1

   Student Task Statement

   Here is a graph of and a graph of , which is a transformation of . Write an equation for the function .

   

   Two functions on coordinate plane, no grid. Horizontal x axis from negative 6 to 5, by 1’s. Vertical axis from negative 6 to 5, by 1’s. Function y equals f of x, dotted line, runs near the x axis from negative 6 until negative 3, starts to increase, passing through 0 comma 1, increases more rapidly. Function y equals g of x, solid line, runs near the x axis from negative 6 until 0, starts to decrease, passing through 2 comma negative 1, decreases more rapidly.