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

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)

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]}

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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.

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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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