# Lesson 1

Matching up to Data

- Let’s describe how to transform graphs.

### Problem 1

Describe a transformation that gives the graph representing \(g\) from the graph representing \(f\).

### Problem 2

Describe a way to transform each graph so that it goes through the labeled points.

### Problem 3

Describe a way to transform each graph so that it better matches the data.

### Problem 4

Does the function \(f\) or the function \(g\) fit the data better? Explain your reasoning.

### Problem 5

For the polynomial function \(A(x)=2x^3+5x^2-28x-15\) we know \((x+5)\) is a factor. Rewrite \(A(x)\) as a product of linear factors.