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Mathematics 10 Online
BeautifulAngel:

help plz???

BeautifulAngel:

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BeautifulAngel:

@Aeon @Elsa213 @moreso @theDeviliscoming @ThisGirlPretty @Ultrilliam @Vocaloid

theDeviliscoming:

I'm sorry but you tagged the ai lol

BeautifulAngel:

what

theDeviliscoming:

Aeon isn't a user she is the ai lol

BeautifulAngel:

i just type the @ symbol and the go through the letters of the alphabet

Vocaloid:

you are given the vertex (h,k) = (-1,-16) you are also given the y-intercept (0,-15) so I believe you can substitute these into the equation (y-k) = a(x-h)^2 and solve for a

Vocaloid:

(-15+16) = a(0+1)^2 solve for a

BeautifulAngel:

Then just solve, right?

Vocaloid:

right, but there's more work to do after you solve for a

BeautifulAngel:

-1 = a (-1) Is this right?

Vocaloid:

I'm not sure how you're getting negative signs

Vocaloid:

-15 + 16 = 1 (0+1)^2 = 1 so a = 1

Vocaloid:

then you go back to the original equation (y-k) = a(x-h)^2 let y = 0 and solve for x

BeautifulAngel:

What do I do after that or is that it?

Vocaloid:

when you solve for x, you should get 2 x values as your x intercepts

Vocaloid:

so yes you will be done after that

BeautifulAngel:

I thought that x was 0

Vocaloid:

since you are solving for the x-intercepts, y is 0, not x

BeautifulAngel:

But in the equation x was put as 0

Vocaloid:

yes, we set x as 0 because we were given the y-intercept, and we wanted to solve for a now we are setting y as 0 because we want to solve for x

Vocaloid:

remember that variables like x can take many values

BeautifulAngel:

Ok, so would my equation be (-15+16) = 1(x-1)^2

Vocaloid:

not quite remember that y = 0

Vocaloid:

also it should be (x+1)^2 not (x-1)^2 because h = -1

BeautifulAngel:

-15 would 0 but the rest is right. Right?

Vocaloid:

see above note

Vocaloid:

(0+16) = 1(x+1)^2 solve for x

BeautifulAngel:

Ok, that's what I had written down. I just didn't type in the right thing

BeautifulAngel:

Now what do I do?

Vocaloid:

take the square root of both sides

Vocaloid:

+/- 4 = x + 1 that gives you two cases: 1. 4 = x + 1 2. -4 = x + 1 solve both equations for x

Vocaloid:

(the +/- means +4 or -4)

BeautifulAngel:

x = 3 and -5 right

Vocaloid:

good, so those are your intercepts it wants the answers in point form so it would be (3,0) and (-5,0)

BeautifulAngel:

So, this is my answer?

Vocaloid:

yes

BeautifulAngel:

Thank you

BeautifulAngel:

It says it's wrong

Vocaloid:

oh dear I checked my graph on desmos and it matches the problem perfectly :/

BeautifulAngel:

Hmm. Oh well, plato always says things like that, most of the time it's a glitch in the system. But thank you so much

Vocaloid:

did you put a comma between the intercepts?

Vocaloid:

oh wow I didn't see it was a test, sorry :(

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