How to decide if a point is on a parabola

Mathematics

1 answer:

SVETLANKA909090 [29]3 years ago

5 0

Answer:

All you need is the coordinates of your point (x,y) as well as the function of your parabola (y=x^2 for example).

Then, replace the x and y from the function by the coordinates of your point.

If you end up with the same number on both sides of the equation, then the point is on your curve. If not, it isn't on your curve.

For example, we want to know if K(3,8) is on the parabola y=x^2–1.

8=3^2–1

8=8

So the point K is on the parabola.

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Answer:

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Step-by-step explanation:

Since our equation is in standard form Ax+By=C we must first manipulate the equation so that we have it in the slope-intercept form such that y=mx+b. Therefore:

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Therefore, our slope is 1/2 and our y-intercept is 2. Now in order to determine a perpendicular line to the one stated above we must then get the negative inverse of our slope meaning $\frac{1}{2}=-2$ (negative reciprocal). Now we must use the point slope formula: