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Mathematics 9 Online
Nicole:

http://prntscr.com/n9badl

Nicole:

@Vocaloid

Vocaloid:

range means y-values find the maximum y-value (if it exists) and the minimum y-value (if it exists)

Nicole:

so maximum y value is 5 and minimum y value is -1?

Vocaloid:

y-values, not x-values how far down the y-axis does the red line go?

Nicole:

Oh sorry. -5

Vocaloid:

|dw:1554763932720:dw|

Vocaloid:

|dw:1554763948012:dw|

Nicole:

(2,-9)

Nicole:

thats the range?

Vocaloid:

where are you getting 2 from

Vocaloid:

the graph has minimum at -9 and goes all the way to infinity [-9, infinity)

Nicole:

oh without the x axis. okay so the range is only what the y axis is. got it.

Nicole:

http://prntscr.com/n9bj9l so this minimum -1 to infinity? (-1, infinity)

Vocaloid:

closed bracket on -1 since the graph does reach -1 [-1, infinity)

Nicole:

http://prntscr.com/n9bk2m

Vocaloid:

domain - what are the x-values?

Nicole:

1 and 3 ?

Vocaloid:

keep in mind this graph covers all possible x values (no restrictions on domain)

Nicole:

so wouldnt it be infinity?

Vocaloid:

(-infinity, infinity) yes in general parabolas have this domain unless there's a restriction

Nicole:

Got it is this right? http://prntscr.com/n9blg6

Vocaloid:

yeah

Nicole:

http://prntscr.com/n9blqv

Vocaloid:

yeah that's good

Nicole:

http://prntscr.com/n9bmbj

Nicole:

-17?

Vocaloid:

it says two consecutive **positive** odd integers

Nicole:

17 and 15?

Vocaloid:

good

Vocaloid:

ugh this is kind of a pain to factor but I would just plug in x = 1 and x = 5 into each equation and see which one consistently gives you zero, since those are the zeroes on your graph

Nicole:

okay give me a min to do it lol

Nicole:

C?

Nicole:

A*

Vocaloid:

I also got the first answer as the solution

Nicole:

http://prntscr.com/n9brvv

Nicole:

A=W(2W)=2W^2 ?

Vocaloid:

good

Nicole:

http://prntscr.com/n9bsjt

Vocaloid:

try graphing the equation and see if it matches the picture

Nicole:

True

Vocaloid:

good

Nicole:

http://prntscr.com/n9bt2o

Nicole:

False?

Vocaloid:

yeah that's what i got too

Nicole:

http://prntscr.com/n9btvx

Vocaloid:

good

Nicole:

http://prntscr.com/n9bts5

Vocaloid:

start with y = a(x-h)^2 + k plug in the vertex (h,k) plug in one of the zeros solve for a

Nicole:

http://prntscr.com/n9bv9w is this right?

Vocaloid:

yeah your final equation is correct

Nicole:

http://prntscr.com/n9bvq0

Vocaloid:

your equation is right but your work is a bit unclear

Vocaloid:

there's something unclear about the first three lines y = a(x+10), how does this become (x+8) = a(x^2 + 18x + 80)

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