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IQuESTION 11 Find tho rectangl whose vertex I5 O4 4+4 3L pts) haven) Moxumum Possibe atee...

Question

IQuESTION 11 Find tho rectangl whose vertex I5 O4 4+4 3L pts) haven) Moxumum Possibe atee

IQuESTION 11 Find tho rectangl whose vertex I5 O4 4+4 3L pts) haven) Moxumum Possibe atee



Answers

Find the coordinates of the vertex. Make a table of values, using $x$ -values to the left and to the right of the vertex. $$ y=5 x^{2}+10 x+7 $$

Here we have the equation of a circle and we could rewrite it as X minus two quantity squared. Plus why minus negative, five quantity squared equals nine. So from that we can see looking at the equation of a circle in general that the center is going to have coordinates to negative five. And since this is a multiple choice or a matching question, we look at our answer choices and we see that that is answer C.

Here we have the equation of a circle, and we could rewrite that equation as X minus two quantity squared. Plus, why minus negative, five quantity squared equals nine. Okay. And so, looking at the equation of a circle in general, we see that the center is HK. And so for this circle, the centre would be too negative. Five. So this is a matching problem, and we look at her answer choices, and we see that that is choice F.

We are told to find the cortex and make a table of values for this horrible, uh, off the given quadratic equation. Eso the vertex. I'm going to use the axis of symmetry formula after my X coordinate. So negative be over to a And, uh, I used the standard form of my quadratic. Then I can determine that my A value is to and my be value is negative time, Doctor, This is really like, plus negative Texas, That's why. Negative, Tim. All right, so I'm gonna substitute this in here, so negative. Negative tongue. You need to times two. That is going to be positive. 10 negatives. Negatives. Positive. And over four, I'm gonna divide this whole thing by two. I'm gonna end up with five pass. So my axe value of my vertex this White House. Now, I'm gonna put that into my quadratic equation from salt. For what? So I'm gonna say Why Close to I have squared minus 10 plans. Five house. Right. So now we get to claims. Five house times, five halves, minus turn. Times use has 25 over to minus 50. Oops. Not 2050 over to over to the year 25 million. 50 is negative. 25/2. So this is my cortex. And I'm gonna use, um, in the mid table of values my x y table. I happen to like vertical exploit tables. I use my heart texts. Clive has? Yeah, and I think it is 25. Have I choose something on each side of my table? Votes. So if I convert to five halves into a hole under its 3.5 to half just getting it's your house on dso honorific to that are behind this or below this for my ex values, and I'm going to use to Yeah, uh, this is 2.5 years. 10 us to one and zero with 2.5. It's 23 And for Rico. Right. So now I'm gonna substitute this to thanks. X squared minus 10 checks. And so all of these heroes is just two times your squared is still zero negative. 10 times 00 770 All right, so then my 2nd 1 on that too. One square? Well, one times one is one. So that's gonna be two times one minus 10 times one And that's just gonna be to minus 10 which is negative. Meet I answered your three. So three. Next. Listen to go four x. So we have to times three square minus 10 times three and three. Spread is nine. So we get two times nine minus 10 times three, which is 30 and two times nine is 18 minus 30 and 18. Minus 30 is negative 12 parent and is now ready. Last one, which is four two X squared, minus 10. Thanks. Four times for 16. So get to time 16 and symptoms for us 40 and then two times 16 is 32. So 30 to minus 40 is negative eight. And now I have my table of values he and river ticks.

We had the equation. Why it was like a to expert was 12 x minus 70. We wanted identify. The Vertex recognize wearing the general for in one way to find the Vertex is recognizing that the A's negative to be used 12 and sees negative 17. We can find the Vertex by substituting for a B and C negative 12/2 times negative to beat the exporting it. The black when it would be negative. 17 minus B squared over for a which simplifies to negative 12 over negative for which is three in negative. 17 minus 12 where over negative eight, which is one.


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