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

Answer 1

Avery Alexander

find the two intercepts and join them up

y = #-x^2 + 3#

y intercept is 3

when y is 0 x is x intercept:

0 = #-x^2 + 3#

#x^2# = 3

#sqrt3# = x intercept; then you just connect them and you have your line.

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Answer 2

Kennedy Adams

To graph the equation y = -x^2 + 3:

Plot the y-intercept at (0, 3).
Use the symmetry of the parabola to find another point. Since the coefficient of x^2 is negative, the parabola opens downwards. Choose a point to the right or left of the y-axis, such as (1, 2) or (-1, 2).
Plot additional points as needed.
Draw a smooth curve through the plotted points to complete the graph.

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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.