In this video, we are going to use decimals to determine the equation of a line or curve, in this case, using a table of values, so table of values will click that button and we ‘ Ll enter a table here.

So two for desmos picks up pretty quickly. Now this is going to be a parabola, so we’re gonna some strange numbers here: minus 68. We have minus 80, 100 and minus 128 all right, so we are going to go ahead and well.

First off, I should show you that these points are way down here. They’re zoom way out to see them, so we want to know what our equation is going to be. So here’s, all we need to do so. You’re gonna type here.

You’re gonna type y1, and then this little squiggly button here and then we’re gonna type. The sort of the general equation for a parabola, which is a x squared, plus, B, X, plus C, now one of the things I always forget to do.

This is right over here. You got a type you. Actually, I have to put a 1 in after each of these X’s. So go there put a little one in and there we go. We actually have our answers, so this minus 1 here is what would go in for the a value this minus 64 is going for the C value.

Now this value is a really smallest to the minus 15. Essentially it’s, nothing, so it’s. Gon na be right there. So just double check this we could do is just retype our line so y equals now. Our first value is minus 1 for the a and so that’s x squared and then we’re gonna skip the B term because it’s, essentially 0 0 times x1 wipes that away, and then we’re gonna type in minus 64 for our C term, and there you go.

If we look at our decimals lines here, they’re, pretty much over top of each other, and so this would be our equation. That matches this table of values. Thank you for watching you

Source : Youtube

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