# How do you graph #y = -x^2 + 3 # by plotting points?

Try different x values and get your function's value

graph{-x^2+3 [-5, 5, -10, 5]} is now possible.

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To graph the equation y = -x^2 + 3 by plotting points, you can choose various values for x, calculate the corresponding y-values using the equation, and then plot the points on a coordinate plane. Here's a table of values and the corresponding points:

x | y = -x^2 + 3 |
---|---|

-2 | -1 |

-1 | 2 |

0 | 3 |

1 | 2 |

2 | -1 |

Plotting these points on a graph and connecting them with a smooth curve will give you the graph of y = -x^2 + 3. The graph will be a downward-opening parabola, with its vertex at the point (0, 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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