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

Question

Ethan Adkins · Accepted Answer

Use parent function as guide and apply tranformations

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]}

Jameson Allen · Answer

undefined To graph the equation y = -x + 3, you can start by creating a table of values. Choose some values for x, calculate the corresponding y values using the equation, and then plot the points on a graph. Once you have a few points, you can draw a straight line through them to represent the equation. Here's a table of values:

| x  | y = -x + 3 |
|----|------------|
| 0  | 3          |
| 1  | 2          |
| 2  | 1          |
| 3  | 0          |
| 4  | -1         |

Plot these points on a graph and draw a straight line through them. The line will have a negative slope (going down from left to right) and will intersect the y-axis at 3.