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Fill in the blanks. A __________ function is a second-degree polynomial function, and its graph is called a __________.

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In Exercises 17-34, sketch the graph of the quadratic function without using a graphing utility. Identify the vertex, axis of symmetry, and x-intercept(s). $ h(x) = 12 - x^2 $

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In Exercises 7-12, match the quadratic function with its graph. [The graphs are labeled (a), (b), (c), (d), (e), and (f).] $ f(x) = (x + 4)^2 $

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In Exercises 17-34, sketch the graph of the quadratic function without using a graphing utility. Identify the vertex, axis of symmetry, and x-intercept(s). $ f(x) = x^2 + 7 $

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Okay, so this is gonna be the second example out of our matrix multiplication Siri's And it says determine which of the following matrix multiplication are possible and simplify that one. If we look at A and B, we could notice that we have kind of like the two same matrices, basically in reverse order. So if we're calling this one a and this one be this one would be being this one would be a so then for our for our situation. A. We have a two rows and three columns, so it's gonna be a two by three matrix. And keep in mind that you always want to do Road Times column as supposed to Colin Times Room. So you're horizontal lines will come first and then your vertical. So for the second one, it's two by two. So then that makes this on a two by two. And this one a two by three. So then we remember that if we have two major cities that are being multiplied together, we have to have it so that the insights are the same in order for it to actually be possible. So then, if we're looking at the insides of this one. This one is three and two and they're not the same. So a does not work. But then for B, we have two and two in the inside, so this one does work, so let's kind of try to work with that one. So if we're doing 36 negative 33 times 2616 negative, 54 So then, from here, we need to figure out how to multiply this. Well, right off the bat, we know that the outside values are going to become the resulting vector, so the outside is gonna be a two and three, so we know that the resulting vector is also going to be a two by three. So I'm going to write out something like this, since that's kind of what it's gonna end up becoming. So then we do basically the same thing as a two by two. But it's just extended version of that. So we're gonna want to do three times to, plus negative three times six. So then, basically, if we were to draw out that l, it would be this right here that would give me 23 times to a six negative. Three times six is negative. 18. So I'd have negative 12. Then for the next one, I have to draw a different L. So that's gonna be three times six and then negative. Three times. Negative. Five. So now we've used this. And now we're doing this one right here. Basically. So we do three times six. That's 18, 18 plus three times negative. Five is positive. 15. That's 33. So then we're moving on to the next set. So now, at this point, we've used to this and this. So now we're doing Oops. No, we're doing this right here. So if we do that, it's gonna be three times one and then negative. Three times four. That becomes negative nine. So then now we're done with the top rope, and now we wanna work with the bottom room. So again for the bottom. We're doing this one right here, so it's gonna be six times two plus three times six, which is 12 times 12 plus 18, which is 30. And then now we know that we've used that First wrote the first column. So then we have this right here, so then six times six, which is 36 and then three times negative five, which is negative. 15. So that becomes 21. So now we've used for the first two columns, and now we're down to the last one. So it's six times one plus three times four, which is going to become 18. So this right here is going to become our resulting matrix.

Introduction to Conic Sections

Discrete Maths

Introduction to Combinatorics and Probability

Introduction to Sequences and Series

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