Question

How do you graph `y= - x+3`?

Answer 1

Use parent function as guide and apply tranformations

Explanation:

Use the parent functions points and apply tranformations to it to obtain the new graph.

The parent function is y = x and it has points such as (0,0) and (1,1)

`y=-x+3` has

a) a negative slope
b) shifted up 3 units

Using the transformations and the parent function, the new graph will have points like (0,3) and (-1,4)

Since the function is linear (has constant slope), you can just draw a line between two points to obtain the new graph

graph{-x+3 [-10, 10, -5, 5]}