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

Answer 1

Abigail Allen

Try different x values and get your function's value

If #x=1# your function #y=2# If #x=2# your function #y=-1# etc.

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

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Answer 2

Hazel Anglin

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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Answer from HIX Tutor

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.