# Unit 3 parent functions and transformations homework 1 answer key

### Question:

Identify the three distinct forms of linear function transformations and describe their characteristics?

### Answer:

In the case of linear functions, changing either the y-intercept or the slope of the graph will result in a new line that retains the same slope and y-intercept. The slope-intercept form y = mx + b is invariant under rotation, reflection, and translation of the lines. As their names imply, linear functions always provide straight lines as their graphs. Their shared essential form and the universality of the slope-intercept form (y = mx + b) in their respective line segments establish a relationship between them. The most fundamental member of the family is the function f(x) = x, thus this is what we call the parent function.